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Finding the Fourth Proportional to 132.13, 197.74 and 111.48

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Solution

The fourth proportional to 132.13, 197.74 and 111.48 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.13 : 197.74 = 111.48 : x
  2. Step 2: Convert to fraction form
    132.13/197.74 = 111.48/x
  3. Step 3: Cross multiply
    132.13x = 197.74 × 111.48
  4. Step 4: Simplify right side
    132.13x = 22,043.45
  5. Step 5: Solve for x
    x = 22,043.45/132.13
  6. Step 6: Final answer
    x = 166.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.