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Finding the Fourth Proportional to 379.53, 524.12 and 239.90

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Solution

The fourth proportional to 379.53, 524.12 and 239.90 is: 331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.53 : 524.12 = 239.90 : x
  2. Step 2: Convert to fraction form
    379.53/524.12 = 239.90/x
  3. Step 3: Cross multiply
    379.53x = 524.12 × 239.90
  4. Step 4: Simplify right side
    379.53x = 125,732.57
  5. Step 5: Solve for x
    x = 125,732.57/379.53
  6. Step 6: Final answer
    x = 331.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.