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Finding the Fourth Proportional to 425.17, 638.34 and 219.88

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Solution

The fourth proportional to 425.17, 638.34 and 219.88 is: 330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.17 : 638.34 = 219.88 : x
  2. Step 2: Convert to fraction form
    425.17/638.34 = 219.88/x
  3. Step 3: Cross multiply
    425.17x = 638.34 × 219.88
  4. Step 4: Simplify right side
    425.17x = 140,353.91
  5. Step 5: Solve for x
    x = 140,353.91/425.17
  6. Step 6: Final answer
    x = 330.12

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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.