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Finding the Fourth Proportional to 252.76, 379.14 and 139.48

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Solution

The fourth proportional to 252.76, 379.14 and 139.48 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.76 : 379.14 = 139.48 : x
  2. Step 2: Convert to fraction form
    252.76/379.14 = 139.48/x
  3. Step 3: Cross multiply
    252.76x = 379.14 × 139.48
  4. Step 4: Simplify right side
    252.76x = 52,882.45
  5. Step 5: Solve for x
    x = 52,882.45/252.76
  6. Step 6: Final answer
    x = 209.22

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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.