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Finding the Fourth Proportional to 204.92, 308.10 and 166.76

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Solution

The fourth proportional to 204.92, 308.10 and 166.76 is: 250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 308.10 = 166.76 : x
  2. Step 2: Convert to fraction form
    204.92/308.10 = 166.76/x
  3. Step 3: Cross multiply
    204.92x = 308.10 × 166.76
  4. Step 4: Simplify right side
    204.92x = 51,378.76
  5. Step 5: Solve for x
    x = 51,378.76/204.92
  6. Step 6: Final answer
    x = 250.73

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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.