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Finding the Fourth Proportional to 559.30, 838.92 and 269.86

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Solution

The fourth proportional to 559.30, 838.92 and 269.86 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.30 : 838.92 = 269.86 : x
  2. Step 2: Convert to fraction form
    559.30/838.92 = 269.86/x
  3. Step 3: Cross multiply
    559.30x = 838.92 × 269.86
  4. Step 4: Simplify right side
    559.30x = 226,390.95
  5. Step 5: Solve for x
    x = 226,390.95/559.30
  6. Step 6: Final answer
    x = 404.78

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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.