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Finding the Fourth Proportional to 546.95, 820.44 and 222.29

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Solution

The fourth proportional to 546.95, 820.44 and 222.29 is: 333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 820.44 = 222.29 : x
  2. Step 2: Convert to fraction form
    546.95/820.44 = 222.29/x
  3. Step 3: Cross multiply
    546.95x = 820.44 × 222.29
  4. Step 4: Simplify right side
    546.95x = 182,375.61
  5. Step 5: Solve for x
    x = 182,375.61/546.95
  6. Step 6: Final answer
    x = 333.44

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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.