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Finding the Fourth Proportional to 546.10, 819.17 and 194.56

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Solution

The fourth proportional to 546.10, 819.17 and 194.56 is: 291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.10 : 819.17 = 194.56 : x
  2. Step 2: Convert to fraction form
    546.10/819.17 = 194.56/x
  3. Step 3: Cross multiply
    546.10x = 819.17 × 194.56
  4. Step 4: Simplify right side
    546.10x = 159,377.72
  5. Step 5: Solve for x
    x = 159,377.72/546.10
  6. Step 6: Final answer
    x = 291.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.