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Finding the Fourth Proportional to 269.76, 404.64 and 226.92

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Solution

The fourth proportional to 269.76, 404.64 and 226.92 is: 340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 404.64 = 226.92 : x
  2. Step 2: Convert to fraction form
    269.76/404.64 = 226.92/x
  3. Step 3: Cross multiply
    269.76x = 404.64 × 226.92
  4. Step 4: Simplify right side
    269.76x = 91,820.91
  5. Step 5: Solve for x
    x = 91,820.91/269.76
  6. Step 6: Final answer
    x = 340.38

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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.