Finding the Fourth Proportional to 378.41, 566.91 and 204.84
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Solution
The fourth proportional to 378.41, 566.91 and 204.84 is: 306.88
Step by Step Solution
- Step 1: Write the proportion equation
378.41 : 566.91 = 204.84 : x - Step 2: Convert to fraction form
378.41/566.91 = 204.84/x - Step 3: Cross multiply
378.41x = 566.91 × 204.84 - Step 4: Simplify right side
378.41x = 116,125.84 - Step 5: Solve for x
x = 116,125.84/378.41 - Step 6: Final answer
x = 306.88
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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.