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Finding the Fourth Proportional to 140.13, 193.19 and 115.43

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Solution

The fourth proportional to 140.13, 193.19 and 115.43 is: 159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 193.19 = 115.43 : x
  2. Step 2: Convert to fraction form
    140.13/193.19 = 115.43/x
  3. Step 3: Cross multiply
    140.13x = 193.19 × 115.43
  4. Step 4: Simplify right side
    140.13x = 22,298.38
  5. Step 5: Solve for x
    x = 22,298.38/140.13
  6. Step 6: Final answer
    x = 159.13

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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.