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Finding the Fourth Proportional to 546.73, 819.85 and 199.83

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Solution

The fourth proportional to 546.73, 819.85 and 199.83 is: 299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.73 : 819.85 = 199.83 : x
  2. Step 2: Convert to fraction form
    546.73/819.85 = 199.83/x
  3. Step 3: Cross multiply
    546.73x = 819.85 × 199.83
  4. Step 4: Simplify right side
    546.73x = 163,826.10
  5. Step 5: Solve for x
    x = 163,826.10/546.73
  6. Step 6: Final answer
    x = 299.65

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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.