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Finding the Fourth Proportional to 166.60, 249.74 and 81

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Solution

The fourth proportional to 166.60, 249.74 and 81 is: 121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.60 : 249.74 = 81 : x
  2. Step 2: Convert to fraction form
    166.60/249.74 = 81/x
  3. Step 3: Cross multiply
    166.60x = 249.74 × 81
  4. Step 4: Simplify right side
    166.60x = 20,228.94
  5. Step 5: Solve for x
    x = 20,228.94/166.60
  6. Step 6: Final answer
    x = 121.42

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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.