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Finding the Fourth Proportional to 461.75, 636.98 and 286.97

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Solution

The fourth proportional to 461.75, 636.98 and 286.97 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 636.98 = 286.97 : x
  2. Step 2: Convert to fraction form
    461.75/636.98 = 286.97/x
  3. Step 3: Cross multiply
    461.75x = 636.98 × 286.97
  4. Step 4: Simplify right side
    461.75x = 182,789.53
  5. Step 5: Solve for x
    x = 182,789.53/461.75
  6. Step 6: Final answer
    x = 395.87

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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.