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Finding the Fourth Proportional to 267.91, 400.14 and 226.80

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Solution

The fourth proportional to 267.91, 400.14 and 226.80 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.91 : 400.14 = 226.80 : x
  2. Step 2: Convert to fraction form
    267.91/400.14 = 226.80/x
  3. Step 3: Cross multiply
    267.91x = 400.14 × 226.80
  4. Step 4: Simplify right side
    267.91x = 90,751.75
  5. Step 5: Solve for x
    x = 90,751.75/267.91
  6. Step 6: Final answer
    x = 338.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.