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Finding the Fourth Proportional to 546.48, 819.78 and 199.92

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Solution

The fourth proportional to 546.48, 819.78 and 199.92 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 819.78 = 199.92 : x
  2. Step 2: Convert to fraction form
    546.48/819.78 = 199.92/x
  3. Step 3: Cross multiply
    546.48x = 819.78 × 199.92
  4. Step 4: Simplify right side
    546.48x = 163,890.42
  5. Step 5: Solve for x
    x = 163,890.42/546.48
  6. Step 6: Final answer
    x = 299.90

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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.