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Finding the Fourth Proportional to 138.57, 190.71 and 132.41

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Solution

The fourth proportional to 138.57, 190.71 and 132.41 is: 182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.57 : 190.71 = 132.41 : x
  2. Step 2: Convert to fraction form
    138.57/190.71 = 132.41/x
  3. Step 3: Cross multiply
    138.57x = 190.71 × 132.41
  4. Step 4: Simplify right side
    138.57x = 25,251.91
  5. Step 5: Solve for x
    x = 25,251.91/138.57
  6. Step 6: Final answer
    x = 182.24

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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.