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Finding the Fourth Proportional to 142.32, 197.40 and 127.92

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Solution

The fourth proportional to 142.32, 197.40 and 127.92 is: 177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 197.40 = 127.92 : x
  2. Step 2: Convert to fraction form
    142.32/197.40 = 127.92/x
  3. Step 3: Cross multiply
    142.32x = 197.40 × 127.92
  4. Step 4: Simplify right side
    142.32x = 25,251.41
  5. Step 5: Solve for x
    x = 25,251.41/142.32
  6. Step 6: Final answer
    x = 177.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.