In future multimedia mobile communication systems, heterogeneous users will require very different and time-varying transmission rates. Thus, they should be supported with a novel approach that can accommodate the fluctuating data rates in wireless channels. In this paper, a simple method that is used to admit the rates successfully is proposed. The method is also distributed in a sense that it can be implemented at each mobile without any interaction with other mobiles. The method consists of power control with a higher SIR (signal to interference ratio) target and periodic adjustment of the data rate. We prove a good rate admission property of the proposed method and verify its performance with numerical investigation.