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Finding the Fourth Proportional to 137.12, 204.39 and 132.62

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Solution

The fourth proportional to 137.12, 204.39 and 132.62 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 204.39 = 132.62 : x
  2. Step 2: Convert to fraction form
    137.12/204.39 = 132.62/x
  3. Step 3: Cross multiply
    137.12x = 204.39 × 132.62
  4. Step 4: Simplify right side
    137.12x = 27,106.20
  5. Step 5: Solve for x
    x = 27,106.20/137.12
  6. Step 6: Final answer
    x = 197.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.