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Finding the Fourth Proportional to 267.44, 401.86 and 227.82

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Solution

The fourth proportional to 267.44, 401.86 and 227.82 is: 342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 401.86 = 227.82 : x
  2. Step 2: Convert to fraction form
    267.44/401.86 = 227.82/x
  3. Step 3: Cross multiply
    267.44x = 401.86 × 227.82
  4. Step 4: Simplify right side
    267.44x = 91,551.75
  5. Step 5: Solve for x
    x = 91,551.75/267.44
  6. Step 6: Final answer
    x = 342.33

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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.