Finding the Fourth Proportional to 378.92, 523.14 and 305.66
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Solution
The fourth proportional to 378.92, 523.14 and 305.66 is: 422.00
Step by Step Solution
- Step 1: Write the proportion equation
378.92 : 523.14 = 305.66 : x - Step 2: Convert to fraction form
378.92/523.14 = 305.66/x - Step 3: Cross multiply
378.92x = 523.14 × 305.66 - Step 4: Simplify right side
378.92x = 159,902.97 - Step 5: Solve for x
x = 159,902.97/378.92 - Step 6: Final answer
x = 422.00
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.