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Finding the Fourth Proportional to 132.10, 197.32 and 116.98

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Solution

The fourth proportional to 132.10, 197.32 and 116.98 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 197.32 = 116.98 : x
  2. Step 2: Convert to fraction form
    132.10/197.32 = 116.98/x
  3. Step 3: Cross multiply
    132.10x = 197.32 × 116.98
  4. Step 4: Simplify right side
    132.10x = 23,081.93
  5. Step 5: Solve for x
    x = 23,081.93/132.10
  6. Step 6: Final answer
    x = 174.73

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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.