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Finding the Fourth Proportional to 132.42, 197.66 and 117.06

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Solution

The fourth proportional to 132.42, 197.66 and 117.06 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 197.66 = 117.06 : x
  2. Step 2: Convert to fraction form
    132.42/197.66 = 117.06/x
  3. Step 3: Cross multiply
    132.42x = 197.66 × 117.06
  4. Step 4: Simplify right side
    132.42x = 23,138.08
  5. Step 5: Solve for x
    x = 23,138.08/132.42
  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.