The relationship is not linear. I posted a big long technical threat on this a while back, including links from major tire manufactures discussing the issue.
https://forum.ih8mud.com/showthread.php?t=111671
See also the tire faq we wrote.
The proper way to determine the proper inflation pressure is to take the load capacity of the oem tire at the pressure recommended by Toyota, adjust it down by 9% (I believe that is the adjustement factor required for safety by Dot), then cross reference that load (which is about 2400 pounds if I remember correctly) to the load chart for the tire you are running. These charts are actually done by Tire size and rating (LT or P metric). For a LT 285/75/16 that comes out to about 42 psi.
FYI, at any pressure a LT285/75/16 Load Range C, D, and E will all have the same load carrying capacity. The difference is that a C rated tire caps out at 50 psi, a D at 65 psi, and an E at 80psi, which allows for higher capacity (due to stronger sidewalls to handle the extra pressure).
https://forum.ih8mud.com/showthread.php?t=111671
See also the tire faq we wrote.
The proper way to determine the proper inflation pressure is to take the load capacity of the oem tire at the pressure recommended by Toyota, adjust it down by 9% (I believe that is the adjustement factor required for safety by Dot), then cross reference that load (which is about 2400 pounds if I remember correctly) to the load chart for the tire you are running. These charts are actually done by Tire size and rating (LT or P metric). For a LT 285/75/16 that comes out to about 42 psi.
FYI, at any pressure a LT285/75/16 Load Range C, D, and E will all have the same load carrying capacity. The difference is that a C rated tire caps out at 50 psi, a D at 65 psi, and an E at 80psi, which allows for higher capacity (due to stronger sidewalls to handle the extra pressure).