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Finding the Fourth Proportional to 267.96, 399.36 and 267.60

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Solution

The fourth proportional to 267.96, 399.36 and 267.60 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 399.36 = 267.60 : x
  2. Step 2: Convert to fraction form
    267.96/399.36 = 267.60/x
  3. Step 3: Cross multiply
    267.96x = 399.36 × 267.60
  4. Step 4: Simplify right side
    267.96x = 106,868.74
  5. Step 5: Solve for x
    x = 106,868.74/267.96
  6. Step 6: Final answer
    x = 398.82

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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.