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Finding the Fourth Proportional to 267.57, 400.61 and 194.27

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Solution

The fourth proportional to 267.57, 400.61 and 194.27 is: 290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 400.61 = 194.27 : x
  2. Step 2: Convert to fraction form
    267.57/400.61 = 194.27/x
  3. Step 3: Cross multiply
    267.57x = 400.61 × 194.27
  4. Step 4: Simplify right side
    267.57x = 77,824.99
  5. Step 5: Solve for x
    x = 77,824.99/267.57
  6. Step 6: Final answer
    x = 290.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.