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Finding the Fourth Proportional to 132.61, 197.81 and 111.08

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Solution

The fourth proportional to 132.61, 197.81 and 111.08 is: 165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.61 : 197.81 = 111.08 : x
  2. Step 2: Convert to fraction form
    132.61/197.81 = 111.08/x
  3. Step 3: Cross multiply
    132.61x = 197.81 × 111.08
  4. Step 4: Simplify right side
    132.61x = 21,972.73
  5. Step 5: Solve for x
    x = 21,972.73/132.61
  6. Step 6: Final answer
    x = 165.69

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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.