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Finding the Fourth Proportional to 267.80, 369.41 and 169.38

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Solution

The fourth proportional to 267.80, 369.41 and 169.38 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.80 : 369.41 = 169.38 : x
  2. Step 2: Convert to fraction form
    267.80/369.41 = 169.38/x
  3. Step 3: Cross multiply
    267.80x = 369.41 × 169.38
  4. Step 4: Simplify right side
    267.80x = 62,569.82
  5. Step 5: Solve for x
    x = 62,569.82/267.80
  6. Step 6: Final answer
    x = 233.65

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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.