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Finding the Fourth Proportional to 140.38, 193.77 and 112.70

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Solution

The fourth proportional to 140.38, 193.77 and 112.70 is: 155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.38 : 193.77 = 112.70 : x
  2. Step 2: Convert to fraction form
    140.38/193.77 = 112.70/x
  3. Step 3: Cross multiply
    140.38x = 193.77 × 112.70
  4. Step 4: Simplify right side
    140.38x = 21,837.27
  5. Step 5: Solve for x
    x = 21,837.27/140.38
  6. Step 6: Final answer
    x = 155.56

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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.