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Finding the Fourth Proportional to 144.38, 216.20 and 115.44

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Solution

The fourth proportional to 144.38, 216.20 and 115.44 is: 172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.38 : 216.20 = 115.44 : x
  2. Step 2: Convert to fraction form
    144.38/216.20 = 115.44/x
  3. Step 3: Cross multiply
    144.38x = 216.20 × 115.44
  4. Step 4: Simplify right side
    144.38x = 24,958.13
  5. Step 5: Solve for x
    x = 24,958.13/144.38
  6. Step 6: Final answer
    x = 172.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.