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Finding the Fourth Proportional to 249.80, 372.17 and 238.20

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Solution

The fourth proportional to 249.80, 372.17 and 238.20 is: 354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.80 : 372.17 = 238.20 : x
  2. Step 2: Convert to fraction form
    249.80/372.17 = 238.20/x
  3. Step 3: Cross multiply
    249.80x = 372.17 × 238.20
  4. Step 4: Simplify right side
    249.80x = 88,650.89
  5. Step 5: Solve for x
    x = 88,650.89/249.80
  6. Step 6: Final answer
    x = 354.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.