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Finding the Fourth Proportional to 546.19, 819.75 and 272.20

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Solution

The fourth proportional to 546.19, 819.75 and 272.20 is: 408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 819.75 = 272.20 : x
  2. Step 2: Convert to fraction form
    546.19/819.75 = 272.20/x
  3. Step 3: Cross multiply
    546.19x = 819.75 × 272.20
  4. Step 4: Simplify right side
    546.19x = 223,135.95
  5. Step 5: Solve for x
    x = 223,135.95/546.19
  6. Step 6: Final answer
    x = 408.53

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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.