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Finding the Fourth Proportional to 463.49, 639.31 and 276.83

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Solution

The fourth proportional to 463.49, 639.31 and 276.83 is: 381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.49 : 639.31 = 276.83 : x
  2. Step 2: Convert to fraction form
    463.49/639.31 = 276.83/x
  3. Step 3: Cross multiply
    463.49x = 639.31 × 276.83
  4. Step 4: Simplify right side
    463.49x = 176,982.13
  5. Step 5: Solve for x
    x = 176,982.13/463.49
  6. Step 6: Final answer
    x = 381.85

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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.