Radiator Heating Element added to my Bathroom Radiator wired!

[Alshamal]

Looking to add 300w heating element to my existing bathroom central heating radiator ,making it duel fuel. Is it possible to pass the cable through the wall and use and existing double socket in another room or do i have to get a socket fitted in the bathroom to wire it into ?

[ProDave]

You can't have a socket in a bathroom, so pass it through the wall, where I would fit a switched fused connection unit to power it.

[Alshamal]

Thanks 

At the other side of the wall there is a double socket nearly directly behind the position where the  Element going to be! Or I could put the cable down through the floor and come up under where the socket is! Then would I be ok to just put plug on and plug it in?