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Finding the Fourth Proportional to 267.20, 398.86 and 248.96

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Solution

The fourth proportional to 267.20, 398.86 and 248.96 is: 371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.20 : 398.86 = 248.96 : x
  2. Step 2: Convert to fraction form
    267.20/398.86 = 248.96/x
  3. Step 3: Cross multiply
    267.20x = 398.86 × 248.96
  4. Step 4: Simplify right side
    267.20x = 99,300.19
  5. Step 5: Solve for x
    x = 99,300.19/267.20
  6. Step 6: Final answer
    x = 371.63

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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.