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Finding the Fourth Proportional to 269.03, 402.44 and 225.77

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Solution

The fourth proportional to 269.03, 402.44 and 225.77 is: 337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.03 : 402.44 = 225.77 : x
  2. Step 2: Convert to fraction form
    269.03/402.44 = 225.77/x
  3. Step 3: Cross multiply
    269.03x = 402.44 × 225.77
  4. Step 4: Simplify right side
    269.03x = 90,855.74
  5. Step 5: Solve for x
    x = 90,855.74/269.03
  6. Step 6: Final answer
    x = 337.71

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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.