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Finding the Fourth Proportional to 181.96, 251.02 and 132.82

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Solution

The fourth proportional to 181.96, 251.02 and 132.82 is: 183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 251.02 = 132.82 : x
  2. Step 2: Convert to fraction form
    181.96/251.02 = 132.82/x
  3. Step 3: Cross multiply
    181.96x = 251.02 × 132.82
  4. Step 4: Simplify right side
    181.96x = 33,340.48
  5. Step 5: Solve for x
    x = 33,340.48/181.96
  6. Step 6: Final answer
    x = 183.23

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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.