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Finding the Fourth Proportional to 267.32, 369.09 and 167.78

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Solution

The fourth proportional to 267.32, 369.09 and 167.78 is: 231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 369.09 = 167.78 : x
  2. Step 2: Convert to fraction form
    267.32/369.09 = 167.78/x
  3. Step 3: Cross multiply
    267.32x = 369.09 × 167.78
  4. Step 4: Simplify right side
    267.32x = 61,926.84
  5. Step 5: Solve for x
    x = 61,926.84/267.32
  6. Step 6: Final answer
    x = 231.66

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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.