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Finding the Fourth Proportional to 463.38, 638.38 and 323.25

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Solution

The fourth proportional to 463.38, 638.38 and 323.25 is: 445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.38 : 638.38 = 323.25 : x
  2. Step 2: Convert to fraction form
    463.38/638.38 = 323.25/x
  3. Step 3: Cross multiply
    463.38x = 638.38 × 323.25
  4. Step 4: Simplify right side
    463.38x = 206,354.35
  5. Step 5: Solve for x
    x = 206,354.35/463.38
  6. Step 6: Final answer
    x = 445.33

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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.