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Finding the Fourth Proportional to 252.47, 379.07 and 179.17

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Solution

The fourth proportional to 252.47, 379.07 and 179.17 is: 269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.47 : 379.07 = 179.17 : x
  2. Step 2: Convert to fraction form
    252.47/379.07 = 179.17/x
  3. Step 3: Cross multiply
    252.47x = 379.07 × 179.17
  4. Step 4: Simplify right side
    252.47x = 67,917.97
  5. Step 5: Solve for x
    x = 67,917.97/252.47
  6. Step 6: Final answer
    x = 269.01

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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.