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Finding the Fourth Proportional to 267.61, 399.01 and 262.75

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Solution

The fourth proportional to 267.61, 399.01 and 262.75 is: 391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.61 : 399.01 = 262.75 : x
  2. Step 2: Convert to fraction form
    267.61/399.01 = 262.75/x
  3. Step 3: Cross multiply
    267.61x = 399.01 × 262.75
  4. Step 4: Simplify right side
    267.61x = 104,839.88
  5. Step 5: Solve for x
    x = 104,839.88/267.61
  6. Step 6: Final answer
    x = 391.76

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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.