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Finding the Fourth Proportional to 252.64, 379.44 and 212.32

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Solution

The fourth proportional to 252.64, 379.44 and 212.32 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.64 : 379.44 = 212.32 : x
  2. Step 2: Convert to fraction form
    252.64/379.44 = 212.32/x
  3. Step 3: Cross multiply
    252.64x = 379.44 × 212.32
  4. Step 4: Simplify right side
    252.64x = 80,562.70
  5. Step 5: Solve for x
    x = 80,562.70/252.64
  6. Step 6: Final answer
    x = 318.88

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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.