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Finding the Fourth Proportional to 461.48, 636.73 and 293.37

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Solution

The fourth proportional to 461.48, 636.73 and 293.37 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 636.73 = 293.37 : x
  2. Step 2: Convert to fraction form
    461.48/636.73 = 293.37/x
  3. Step 3: Cross multiply
    461.48x = 636.73 × 293.37
  4. Step 4: Simplify right side
    461.48x = 186,796.75
  5. Step 5: Solve for x
    x = 186,796.75/461.48
  6. Step 6: Final answer
    x = 404.78

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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.