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Finding the Fourth Proportional to 139.48, 193.31 and 137.40

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Solution

The fourth proportional to 139.48, 193.31 and 137.40 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.48 : 193.31 = 137.40 : x
  2. Step 2: Convert to fraction form
    139.48/193.31 = 137.40/x
  3. Step 3: Cross multiply
    139.48x = 193.31 × 137.40
  4. Step 4: Simplify right side
    139.48x = 26,560.79
  5. Step 5: Solve for x
    x = 26,560.79/139.48
  6. Step 6: Final answer
    x = 190.43

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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.