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Finding the Fourth Proportional to 516.80, 775.29 and 239.17

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Solution

The fourth proportional to 516.80, 775.29 and 239.17 is: 358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.80 : 775.29 = 239.17 : x
  2. Step 2: Convert to fraction form
    516.80/775.29 = 239.17/x
  3. Step 3: Cross multiply
    516.80x = 775.29 × 239.17
  4. Step 4: Simplify right side
    516.80x = 185,426.11
  5. Step 5: Solve for x
    x = 185,426.11/516.80
  6. Step 6: Final answer
    x = 358.80

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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.