In agreement with the above statements - with perhaps a redundant/unnecessary clarification:
If you already know your solution is 100 uM (which is the same as pmole/uL), then, to do a 1:10 dilution of your 388 uL primer, you know that the final volume will be 10 x 388 uL, or 3880 uL. So, you would add 3492 uL of TE pH 8.0 or nuclease-free water to the 388 uL to get 3880 uL of 10 uM primer. In your other case, you would add 3321 uL TE pH 8.0 or nuclease-free water to the 369 uL 100 uM primer to arrive at 3690 uL of that (which would then be 10 uM since you inflated the volume by a factor of 10).
The idea is that, if you want to dilute something 1:10, that means you desire to end up with a solution that is 10 times less concentrated than it started at. E.g., instead of having 1 uL of something at 100 uM concentration, after a 1:10 dilution of it, you now have 10 uL of something that is 10 uM; since you would have added 1 uL of the 100 uM material to 9 uL of a diluent, thus increasing/inflating the volume of the original 1 uL to 10 uL. The same amount of material you had in the 1 uL room, now swims around in a 10 uL room. Like a fish in a tank that is now 10X bigger. The fish is 10 times less concentrated. But more comfortable (or frightened). ;]