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Finding the Fourth Proportional to 132.16, 197.36 and 115.08

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Solution

The fourth proportional to 132.16, 197.36 and 115.08 is: 171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 197.36 = 115.08 : x
  2. Step 2: Convert to fraction form
    132.16/197.36 = 115.08/x
  3. Step 3: Cross multiply
    132.16x = 197.36 × 115.08
  4. Step 4: Simplify right side
    132.16x = 22,712.19
  5. Step 5: Solve for x
    x = 22,712.19/132.16
  6. Step 6: Final answer
    x = 171.85

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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.