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Finding the Fourth Proportional to 463.46, 638.91 and 286.31

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Solution

The fourth proportional to 463.46, 638.91 and 286.31 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.46 : 638.91 = 286.31 : x
  2. Step 2: Convert to fraction form
    463.46/638.91 = 286.31/x
  3. Step 3: Cross multiply
    463.46x = 638.91 × 286.31
  4. Step 4: Simplify right side
    463.46x = 182,924.20
  5. Step 5: Solve for x
    x = 182,924.20/463.46
  6. Step 6: Final answer
    x = 394.69

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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.