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Finding the Fourth Proportional to 546.73, 820.43 and 222.10

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Solution

The fourth proportional to 546.73, 820.43 and 222.10 is: 333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.73 : 820.43 = 222.10 : x
  2. Step 2: Convert to fraction form
    546.73/820.43 = 222.10/x
  3. Step 3: Cross multiply
    546.73x = 820.43 × 222.10
  4. Step 4: Simplify right side
    546.73x = 182,213.40
  5. Step 5: Solve for x
    x = 182,213.40/546.73
  6. Step 6: Final answer
    x = 333.28

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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.