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Finding the Fourth Proportional to 461.42, 636.80 and 344.78

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Solution

The fourth proportional to 461.42, 636.80 and 344.78 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 636.80 = 344.78 : x
  2. Step 2: Convert to fraction form
    461.42/636.80 = 344.78/x
  3. Step 3: Cross multiply
    461.42x = 636.80 × 344.78
  4. Step 4: Simplify right side
    461.42x = 219,551.86
  5. Step 5: Solve for x
    x = 219,551.86/461.42
  6. Step 6: Final answer
    x = 475.82

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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.