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Finding the Fourth Proportional to 269.76, 372.33 and 226.02

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Solution

The fourth proportional to 269.76, 372.33 and 226.02 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 372.33 = 226.02 : x
  2. Step 2: Convert to fraction form
    269.76/372.33 = 226.02/x
  3. Step 3: Cross multiply
    269.76x = 372.33 × 226.02
  4. Step 4: Simplify right side
    269.76x = 84,154.03
  5. Step 5: Solve for x
    x = 84,154.03/269.76
  6. Step 6: Final answer
    x = 311.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.