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Finding the Fourth Proportional to 142.74, 197.96 and 138.29

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Solution

The fourth proportional to 142.74, 197.96 and 138.29 is: 191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 197.96 = 138.29 : x
  2. Step 2: Convert to fraction form
    142.74/197.96 = 138.29/x
  3. Step 3: Cross multiply
    142.74x = 197.96 × 138.29
  4. Step 4: Simplify right side
    142.74x = 27,374.21
  5. Step 5: Solve for x
    x = 27,374.21/142.74
  6. Step 6: Final answer
    x = 191.78

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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.