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Finding the Fourth Proportional to 426.03, 638.43 and 209.76

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Solution

The fourth proportional to 426.03, 638.43 and 209.76 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.03 : 638.43 = 209.76 : x
  2. Step 2: Convert to fraction form
    426.03/638.43 = 209.76/x
  3. Step 3: Cross multiply
    426.03x = 638.43 × 209.76
  4. Step 4: Simplify right side
    426.03x = 133,913.90
  5. Step 5: Solve for x
    x = 133,913.90/426.03
  6. Step 6: Final answer
    x = 314.33

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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.