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Finding the Fourth Proportional to 144.82, 218.01 and 132.27

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Solution

The fourth proportional to 144.82, 218.01 and 132.27 is: 199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 218.01 = 132.27 : x
  2. Step 2: Convert to fraction form
    144.82/218.01 = 132.27/x
  3. Step 3: Cross multiply
    144.82x = 218.01 × 132.27
  4. Step 4: Simplify right side
    144.82x = 28,835.42
  5. Step 5: Solve for x
    x = 28,835.42/144.82
  6. Step 6: Final answer
    x = 199.11

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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.