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Finding the Fourth Proportional to 166.53, 249.89 and 120.81

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Solution

The fourth proportional to 166.53, 249.89 and 120.81 is: 181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.53 : 249.89 = 120.81 : x
  2. Step 2: Convert to fraction form
    166.53/249.89 = 120.81/x
  3. Step 3: Cross multiply
    166.53x = 249.89 × 120.81
  4. Step 4: Simplify right side
    166.53x = 30,188.61
  5. Step 5: Solve for x
    x = 30,188.61/166.53
  6. Step 6: Final answer
    x = 181.28

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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.