Is you sound static-y? Screechy? Always whining? Here are a few things to check...
2) Audio interference can and often is electromagnetic disruptions. If the Promethean board audio is the issue, I'd make sure that the audio cable isn't running parallel to any power cords. Audio cables are best ran perpendicular to power. It could also be the cable itself is damaged and the ground wire(s) that protect from the interference are no longer properly connecting. The reason you may only hear this interference when the computer is plugged is plugging in the cable allows the electromagnetic energy to complete a circuit.
3) The audio cable itself could be bad. Try getting a replacement aux cable and running it from the computer to the speaker/board. Don't worry about running it through the ceiling... just plug it in and see if it works. If this takes care of the issue, use a new aux cable.