No raise pre flop makes AK seem unlikely. Your hand is probably best here on the turn. Are you trying to get him to fold with that raise? Or do you hope he's calling with AQ/AJ? I cant decide whether i like the push or if i want to raise to only 200$ and hope he calls with AJ/AQ. 100$ more to call into a 300$ pot is giving him bad odds to draw on a 3 outter to make a bigger two pair. And if you are already behind he's just going to call your push.

Edit: Forgot he would be getting 3 more outs from possibly having the board pair the king on the river. But even still 6 outs out of 46 card(45 if you say he's holding one of the other aces ) is still a bad draw for an extra 100$.