Power control mechanisms are essential for CDMA wireless communication systems to enhance user capacity. In this paper, we propose a novel power control scheme which combines transmission rate management with power adjustments for multimedia CDMA cellular systems. In the proposed scheme, a fuzzy logic controller (FLC) is first used to dynamically infer a suitable transmission rate for each service. Then a selective power control (SPC) scheme is used to adjust the transmission power for each service in order to maintain an acceptable signal-to-interference ratio (SIR). Numerical results show that the proposed scheme outperforms the original SPC and the Lagrangian relaxation technique and power control (LRPC) methods in outage probability, average transmission rate, probability of unsuccessful transmission, and probability of changes in transmission rates.