Finding the Fourth Proportional to 304.30, 456.71 and 121.82
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Solution
The fourth proportional to 304.30, 456.71 and 121.82 is: 182.84
Step by Step Solution
- Step 1: Write the proportion equation
304.30 : 456.71 = 121.82 : x - Step 2: Convert to fraction form
304.30/456.71 = 121.82/x - Step 3: Cross multiply
304.30x = 456.71 × 121.82 - Step 4: Simplify right side
304.30x = 55,637.31 - Step 5: Solve for x
x = 55,637.31/304.30 - Step 6: Final answer
x = 182.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.