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Finding the Fourth Proportional to 461.68, 636.45 and 363.26

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Solution

The fourth proportional to 461.68, 636.45 and 363.26 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 636.45 = 363.26 : x
  2. Step 2: Convert to fraction form
    461.68/636.45 = 363.26/x
  3. Step 3: Cross multiply
    461.68x = 636.45 × 363.26
  4. Step 4: Simplify right side
    461.68x = 231,196.83
  5. Step 5: Solve for x
    x = 231,196.83/461.68
  6. Step 6: Final answer
    x = 500.78

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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.