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Finding the Fourth Proportional to 140.13, 191.70 and 137.70

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Solution

The fourth proportional to 140.13, 191.70 and 137.70 is: 188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 191.70 = 137.70 : x
  2. Step 2: Convert to fraction form
    140.13/191.70 = 137.70/x
  3. Step 3: Cross multiply
    140.13x = 191.70 × 137.70
  4. Step 4: Simplify right side
    140.13x = 26,397.09
  5. Step 5: Solve for x
    x = 26,397.09/140.13
  6. Step 6: Final answer
    x = 188.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.