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Finding the Fourth Proportional to 486.29, 729.17 and 254.61

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Solution

The fourth proportional to 486.29, 729.17 and 254.61 is: 381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.29 : 729.17 = 254.61 : x
  2. Step 2: Convert to fraction form
    486.29/729.17 = 254.61/x
  3. Step 3: Cross multiply
    486.29x = 729.17 × 254.61
  4. Step 4: Simplify right side
    486.29x = 185,652.70
  5. Step 5: Solve for x
    x = 185,652.70/486.29
  6. Step 6: Final answer
    x = 381.78

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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.