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Finding the Fourth Proportional to 138.46, 190.92 and 107.32

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Solution

The fourth proportional to 138.46, 190.92 and 107.32 is: 147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.46 : 190.92 = 107.32 : x
  2. Step 2: Convert to fraction form
    138.46/190.92 = 107.32/x
  3. Step 3: Cross multiply
    138.46x = 190.92 × 107.32
  4. Step 4: Simplify right side
    138.46x = 20,489.53
  5. Step 5: Solve for x
    x = 20,489.53/138.46
  6. Step 6: Final answer
    x = 147.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.