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Finding the Fourth Proportional to 546.79, 819.63 and 221.92

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Solution

The fourth proportional to 546.79, 819.63 and 221.92 is: 332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.79 : 819.63 = 221.92 : x
  2. Step 2: Convert to fraction form
    546.79/819.63 = 221.92/x
  3. Step 3: Cross multiply
    546.79x = 819.63 × 221.92
  4. Step 4: Simplify right side
    546.79x = 181,892.29
  5. Step 5: Solve for x
    x = 181,892.29/546.79
  6. Step 6: Final answer
    x = 332.65

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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.