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Finding the Fourth Proportional to 461.48, 636.81 and 363.47

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Solution

The fourth proportional to 461.48, 636.81 and 363.47 is: 501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 636.81 = 363.47 : x
  2. Step 2: Convert to fraction form
    461.48/636.81 = 363.47/x
  3. Step 3: Cross multiply
    461.48x = 636.81 × 363.47
  4. Step 4: Simplify right side
    461.48x = 231,461.33
  5. Step 5: Solve for x
    x = 231,461.33/461.48
  6. Step 6: Final answer
    x = 501.56

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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.