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Finding the Fourth Proportional to 180.57, 249.17 and 101.88

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Solution

The fourth proportional to 180.57, 249.17 and 101.88 is: 140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.57 : 249.17 = 101.88 : x
  2. Step 2: Convert to fraction form
    180.57/249.17 = 101.88/x
  3. Step 3: Cross multiply
    180.57x = 249.17 × 101.88
  4. Step 4: Simplify right side
    180.57x = 25,384.93
  5. Step 5: Solve for x
    x = 25,384.93/180.57
  6. Step 6: Final answer
    x = 140.58

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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.