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Finding the Fourth Proportional to 546.79, 820.22 and 181.61

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Solution

The fourth proportional to 546.79, 820.22 and 181.61 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.79 : 820.22 = 181.61 : x
  2. Step 2: Convert to fraction form
    546.79/820.22 = 181.61/x
  3. Step 3: Cross multiply
    546.79x = 820.22 × 181.61
  4. Step 4: Simplify right side
    546.79x = 148,960.15
  5. Step 5: Solve for x
    x = 148,960.15/546.79
  6. Step 6: Final answer
    x = 272.43

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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.