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Finding the Fourth Proportional to 139.15, 193.07 and 137.97

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Solution

The fourth proportional to 139.15, 193.07 and 137.97 is: 191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.15 : 193.07 = 137.97 : x
  2. Step 2: Convert to fraction form
    139.15/193.07 = 137.97/x
  3. Step 3: Cross multiply
    139.15x = 193.07 × 137.97
  4. Step 4: Simplify right side
    139.15x = 26,637.87
  5. Step 5: Solve for x
    x = 26,637.87/139.15
  6. Step 6: Final answer
    x = 191.43

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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.