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Finding the Fourth Proportional to 267.92, 369.74 and 149.90

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Solution

The fourth proportional to 267.92, 369.74 and 149.90 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.92 : 369.74 = 149.90 : x
  2. Step 2: Convert to fraction form
    267.92/369.74 = 149.90/x
  3. Step 3: Cross multiply
    267.92x = 369.74 × 149.90
  4. Step 4: Simplify right side
    267.92x = 55,423.79
  5. Step 5: Solve for x
    x = 55,423.79/267.92
  6. Step 6: Final answer
    x = 206.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.