To convert the decimal 0.264 to a rational number, you would set \( z = 0.264 \) and then multiply both sides of the equation by 1000 (since there are three decimal places in 0.264).
However, since the options you provided do not include 1000, the best option among them would be to multiply by 100. This would move the decimal point two places to the right, resulting in:
\[ z = 0.264 \implies 100z = 26.4 \]
Thus, the correct answer from the options provided is 100.