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Finding the Fourth Proportional to 132.27, 197.56 and 111.77

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Solution

The fourth proportional to 132.27, 197.56 and 111.77 is: 166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.27 : 197.56 = 111.77 : x
  2. Step 2: Convert to fraction form
    132.27/197.56 = 111.77/x
  3. Step 3: Cross multiply
    132.27x = 197.56 × 111.77
  4. Step 4: Simplify right side
    132.27x = 22,081.17
  5. Step 5: Solve for x
    x = 22,081.17/132.27
  6. Step 6: Final answer
    x = 166.94

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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.