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Finding the Fourth Proportional to 252.20, 377.94 and 221.78

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Solution

The fourth proportional to 252.20, 377.94 and 221.78 is: 332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.20 : 377.94 = 221.78 : x
  2. Step 2: Convert to fraction form
    252.20/377.94 = 221.78/x
  3. Step 3: Cross multiply
    252.20x = 377.94 × 221.78
  4. Step 4: Simplify right side
    252.20x = 83,819.53
  5. Step 5: Solve for x
    x = 83,819.53/252.20
  6. Step 6: Final answer
    x = 332.35

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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.