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Finding the Fourth Proportional to 140.97, 195.38 and 138.38

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Solution

The fourth proportional to 140.97, 195.38 and 138.38 is: 191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.97 : 195.38 = 138.38 : x
  2. Step 2: Convert to fraction form
    140.97/195.38 = 138.38/x
  3. Step 3: Cross multiply
    140.97x = 195.38 × 138.38
  4. Step 4: Simplify right side
    140.97x = 27,036.68
  5. Step 5: Solve for x
    x = 27,036.68/140.97
  6. Step 6: Final answer
    x = 191.79

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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.