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Finding the Fourth Proportional to 482.59, 724.11 and 239.06

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Solution

The fourth proportional to 482.59, 724.11 and 239.06 is: 358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.59 : 724.11 = 239.06 : x
  2. Step 2: Convert to fraction form
    482.59/724.11 = 239.06/x
  3. Step 3: Cross multiply
    482.59x = 724.11 × 239.06
  4. Step 4: Simplify right side
    482.59x = 173,105.74
  5. Step 5: Solve for x
    x = 173,105.74/482.59
  6. Step 6: Final answer
    x = 358.70

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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.