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Finding the Fourth Proportional to 461.89, 636.96 and 306.64

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Solution

The fourth proportional to 461.89, 636.96 and 306.64 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 636.96 = 306.64 : x
  2. Step 2: Convert to fraction form
    461.89/636.96 = 306.64/x
  3. Step 3: Cross multiply
    461.89x = 636.96 × 306.64
  4. Step 4: Simplify right side
    461.89x = 195,317.41
  5. Step 5: Solve for x
    x = 195,317.41/461.89
  6. Step 6: Final answer
    x = 422.87

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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.