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Finding the Fourth Proportional to 138.13, 191.89 and 136.87

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Solution

The fourth proportional to 138.13, 191.89 and 136.87 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.13 : 191.89 = 136.87 : x
  2. Step 2: Convert to fraction form
    138.13/191.89 = 136.87/x
  3. Step 3: Cross multiply
    138.13x = 191.89 × 136.87
  4. Step 4: Simplify right side
    138.13x = 26,263.98
  5. Step 5: Solve for x
    x = 26,263.98/138.13
  6. Step 6: Final answer
    x = 190.14

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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.