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Finding the Fourth Proportional to 267.98, 400.28 and 229.57

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Solution

The fourth proportional to 267.98, 400.28 and 229.57 is: 342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.98 : 400.28 = 229.57 : x
  2. Step 2: Convert to fraction form
    267.98/400.28 = 229.57/x
  3. Step 3: Cross multiply
    267.98x = 400.28 × 229.57
  4. Step 4: Simplify right side
    267.98x = 91,890.13
  5. Step 5: Solve for x
    x = 91,890.13/267.98
  6. Step 6: Final answer
    x = 342.91

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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.