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Finding the Fourth Proportional to 546.18, 819.34 and 181.22

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Solution

The fourth proportional to 546.18, 819.34 and 181.22 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.18 : 819.34 = 181.22 : x
  2. Step 2: Convert to fraction form
    546.18/819.34 = 181.22/x
  3. Step 3: Cross multiply
    546.18x = 819.34 × 181.22
  4. Step 4: Simplify right side
    546.18x = 148,480.79
  5. Step 5: Solve for x
    x = 148,480.79/546.18
  6. Step 6: Final answer
    x = 271.85

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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.