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Finding the Fourth Proportional to 132.21, 197.15 and 116.72

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Solution

The fourth proportional to 132.21, 197.15 and 116.72 is: 174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.21 : 197.15 = 116.72 : x
  2. Step 2: Convert to fraction form
    132.21/197.15 = 116.72/x
  3. Step 3: Cross multiply
    132.21x = 197.15 × 116.72
  4. Step 4: Simplify right side
    132.21x = 23,011.17
  5. Step 5: Solve for x
    x = 23,011.17/132.21
  6. Step 6: Final answer
    x = 174.05

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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.