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Finding the Fourth Proportional to 149.52, 225.17 and 126.78

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Solution

The fourth proportional to 149.52, 225.17 and 126.78 is: 190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.52 : 225.17 = 126.78 : x
  2. Step 2: Convert to fraction form
    149.52/225.17 = 126.78/x
  3. Step 3: Cross multiply
    149.52x = 225.17 × 126.78
  4. Step 4: Simplify right side
    149.52x = 28,546.42
  5. Step 5: Solve for x
    x = 28,546.42/149.52
  6. Step 6: Final answer
    x = 190.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.