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Finding the Fourth Proportional to 546.90, 820.26 and 181.71

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Solution

The fourth proportional to 546.90, 820.26 and 181.71 is: 272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.90 : 820.26 = 181.71 : x
  2. Step 2: Convert to fraction form
    546.90/820.26 = 181.71/x
  3. Step 3: Cross multiply
    546.90x = 820.26 × 181.71
  4. Step 4: Simplify right side
    546.90x = 149,049.44
  5. Step 5: Solve for x
    x = 149,049.44/546.90
  6. Step 6: Final answer
    x = 272.54

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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.