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Finding the Fourth Proportional to 144.82, 218.02 and 132.07

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Solution

The fourth proportional to 144.82, 218.02 and 132.07 is: 198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 218.02 = 132.07 : x
  2. Step 2: Convert to fraction form
    144.82/218.02 = 132.07/x
  3. Step 3: Cross multiply
    144.82x = 218.02 × 132.07
  4. Step 4: Simplify right side
    144.82x = 28,793.90
  5. Step 5: Solve for x
    x = 28,793.90/144.82
  6. Step 6: Final answer
    x = 198.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.