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Finding the Fourth Proportional to 252.62, 378.80 and 144.49

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Solution

The fourth proportional to 252.62, 378.80 and 144.49 is: 216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.62 : 378.80 = 144.49 : x
  2. Step 2: Convert to fraction form
    252.62/378.80 = 144.49/x
  3. Step 3: Cross multiply
    252.62x = 378.80 × 144.49
  4. Step 4: Simplify right side
    252.62x = 54,730.20
  5. Step 5: Solve for x
    x = 54,730.20/252.62
  6. Step 6: Final answer
    x = 216.65

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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.