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Finding the Fourth Proportional to 267.27, 397.97 and 266.46

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Solution

The fourth proportional to 267.27, 397.97 and 266.46 is: 396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.27 : 397.97 = 266.46 : x
  2. Step 2: Convert to fraction form
    267.27/397.97 = 266.46/x
  3. Step 3: Cross multiply
    267.27x = 397.97 × 266.46
  4. Step 4: Simplify right side
    267.27x = 106,041.75
  5. Step 5: Solve for x
    x = 106,041.75/267.27
  6. Step 6: Final answer
    x = 396.76

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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.