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Finding the Fourth Proportional to 425.49, 638.10 and 209.22

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Solution

The fourth proportional to 425.49, 638.10 and 209.22 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.49 : 638.10 = 209.22 : x
  2. Step 2: Convert to fraction form
    425.49/638.10 = 209.22/x
  3. Step 3: Cross multiply
    425.49x = 638.10 × 209.22
  4. Step 4: Simplify right side
    425.49x = 133,503.28
  5. Step 5: Solve for x
    x = 133,503.28/425.49
  6. Step 6: Final answer
    x = 313.76

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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.