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Finding the Fourth Proportional to 267.31, 399.05 and 255.49

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Solution

The fourth proportional to 267.31, 399.05 and 255.49 is: 381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.31 : 399.05 = 255.49 : x
  2. Step 2: Convert to fraction form
    267.31/399.05 = 255.49/x
  3. Step 3: Cross multiply
    267.31x = 399.05 × 255.49
  4. Step 4: Simplify right side
    267.31x = 101,953.28
  5. Step 5: Solve for x
    x = 101,953.28/267.31
  6. Step 6: Final answer
    x = 381.40

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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.