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Finding the Fourth Proportional to 461.21, 636.47 and 254.21

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Solution

The fourth proportional to 461.21, 636.47 and 254.21 is: 350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.21 : 636.47 = 254.21 : x
  2. Step 2: Convert to fraction form
    461.21/636.47 = 254.21/x
  3. Step 3: Cross multiply
    461.21x = 636.47 × 254.21
  4. Step 4: Simplify right side
    461.21x = 161,793.94
  5. Step 5: Solve for x
    x = 161,793.94/461.21
  6. Step 6: Final answer
    x = 350.81

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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.