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Finding the Fourth Proportional to 132.82, 198.39 and 119.96

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Solution

The fourth proportional to 132.82, 198.39 and 119.96 is: 179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.82 : 198.39 = 119.96 : x
  2. Step 2: Convert to fraction form
    132.82/198.39 = 119.96/x
  3. Step 3: Cross multiply
    132.82x = 198.39 × 119.96
  4. Step 4: Simplify right side
    132.82x = 23,798.86
  5. Step 5: Solve for x
    x = 23,798.86/132.82
  6. Step 6: Final answer
    x = 179.18

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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.