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Finding the Fourth Proportional to 267.94, 400.34 and 262.18

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Solution

The fourth proportional to 267.94, 400.34 and 262.18 is: 391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.94 : 400.34 = 262.18 : x
  2. Step 2: Convert to fraction form
    267.94/400.34 = 262.18/x
  3. Step 3: Cross multiply
    267.94x = 400.34 × 262.18
  4. Step 4: Simplify right side
    267.94x = 104,961.14
  5. Step 5: Solve for x
    x = 104,961.14/267.94
  6. Step 6: Final answer
    x = 391.73

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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.