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Finding the Fourth Proportional to 138.87, 193.17 and 136.23

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Solution

The fourth proportional to 138.87, 193.17 and 136.23 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.87 : 193.17 = 136.23 : x
  2. Step 2: Convert to fraction form
    138.87/193.17 = 136.23/x
  3. Step 3: Cross multiply
    138.87x = 193.17 × 136.23
  4. Step 4: Simplify right side
    138.87x = 26,315.89
  5. Step 5: Solve for x
    x = 26,315.89/138.87
  6. Step 6: Final answer
    x = 189.50

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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.