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Finding the Fourth Proportional to 546.47, 819.78 and 199.76

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Solution

The fourth proportional to 546.47, 819.78 and 199.76 is: 299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.47 : 819.78 = 199.76 : x
  2. Step 2: Convert to fraction form
    546.47/819.78 = 199.76/x
  3. Step 3: Cross multiply
    546.47x = 819.78 × 199.76
  4. Step 4: Simplify right side
    546.47x = 163,759.25
  5. Step 5: Solve for x
    x = 163,759.25/546.47
  6. Step 6: Final answer
    x = 299.67

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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.