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Finding the Fourth Proportional to 194.73, 267.78 and 166.98

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Solution

The fourth proportional to 194.73, 267.78 and 166.98 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.73 : 267.78 = 166.98 : x
  2. Step 2: Convert to fraction form
    194.73/267.78 = 166.98/x
  3. Step 3: Cross multiply
    194.73x = 267.78 × 166.98
  4. Step 4: Simplify right side
    194.73x = 44,713.90
  5. Step 5: Solve for x
    x = 44,713.90/194.73
  6. Step 6: Final answer
    x = 229.62

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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.