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Finding the Fourth Proportional to 138.92, 193.07 and 137.48

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Solution

The fourth proportional to 138.92, 193.07 and 137.48 is: 191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.92 : 193.07 = 137.48 : x
  2. Step 2: Convert to fraction form
    138.92/193.07 = 137.48/x
  3. Step 3: Cross multiply
    138.92x = 193.07 × 137.48
  4. Step 4: Simplify right side
    138.92x = 26,543.26
  5. Step 5: Solve for x
    x = 26,543.26/138.92
  6. Step 6: Final answer
    x = 191.07

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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.