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Finding the Fourth Proportional to 546.48, 819.90 and 268.86

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Solution

The fourth proportional to 546.48, 819.90 and 268.86 is: 403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 819.90 = 268.86 : x
  2. Step 2: Convert to fraction form
    546.48/819.90 = 268.86/x
  3. Step 3: Cross multiply
    546.48x = 819.90 × 268.86
  4. Step 4: Simplify right side
    546.48x = 220,438.31
  5. Step 5: Solve for x
    x = 220,438.31/546.48
  6. Step 6: Final answer
    x = 403.38

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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.