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Finding the Fourth Proportional to 461.32, 636.10 and 286.44

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Solution

The fourth proportional to 461.32, 636.10 and 286.44 is: 394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 636.10 = 286.44 : x
  2. Step 2: Convert to fraction form
    461.32/636.10 = 286.44/x
  3. Step 3: Cross multiply
    461.32x = 636.10 × 286.44
  4. Step 4: Simplify right side
    461.32x = 182,204.48
  5. Step 5: Solve for x
    x = 182,204.48/461.32
  6. Step 6: Final answer
    x = 394.96

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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.