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Finding the Fourth Proportional to 461.10, 636.15 and 342.78

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Solution

The fourth proportional to 461.10, 636.15 and 342.78 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.10 : 636.15 = 342.78 : x
  2. Step 2: Convert to fraction form
    461.10/636.15 = 342.78/x
  3. Step 3: Cross multiply
    461.10x = 636.15 × 342.78
  4. Step 4: Simplify right side
    461.10x = 218,059.50
  5. Step 5: Solve for x
    x = 218,059.50/461.10
  6. Step 6: Final answer
    x = 472.91

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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.