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Finding the Fourth Proportional to 462.08, 638.22 and 337.54

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Solution

The fourth proportional to 462.08, 638.22 and 337.54 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.08 : 638.22 = 337.54 : x
  2. Step 2: Convert to fraction form
    462.08/638.22 = 337.54/x
  3. Step 3: Cross multiply
    462.08x = 638.22 × 337.54
  4. Step 4: Simplify right side
    462.08x = 215,424.78
  5. Step 5: Solve for x
    x = 215,424.78/462.08
  6. Step 6: Final answer
    x = 466.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.