Finding the Fourth Proportional to 378.92, 568.53 and 205.68
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Solution
The fourth proportional to 378.92, 568.53 and 205.68 is: 308.60
Step by Step Solution
- Step 1: Write the proportion equation
378.92 : 568.53 = 205.68 : x - Step 2: Convert to fraction form
378.92/568.53 = 205.68/x - Step 3: Cross multiply
378.92x = 568.53 × 205.68 - Step 4: Simplify right side
378.92x = 116,935.25 - Step 5: Solve for x
x = 116,935.25/378.92 - Step 6: Final answer
x = 308.60
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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.