Finding the Fourth Proportional to 378.69, 568.08 and 135.24
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Solution
The fourth proportional to 378.69, 568.08 and 135.24 is: 202.88
Step by Step Solution
- Step 1: Write the proportion equation
378.69 : 568.08 = 135.24 : x - Step 2: Convert to fraction form
378.69/568.08 = 135.24/x - Step 3: Cross multiply
378.69x = 568.08 × 135.24 - Step 4: Simplify right side
378.69x = 76,827.14 - Step 5: Solve for x
x = 76,827.14/378.69 - Step 6: Final answer
x = 202.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.