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Finding the Fourth Proportional to 181.73, 273.92 and 166.34

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Solution

The fourth proportional to 181.73, 273.92 and 166.34 is: 250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.73 : 273.92 = 166.34 : x
  2. Step 2: Convert to fraction form
    181.73/273.92 = 166.34/x
  3. Step 3: Cross multiply
    181.73x = 273.92 × 166.34
  4. Step 4: Simplify right side
    181.73x = 45,561.65
  5. Step 5: Solve for x
    x = 45,561.65/181.73
  6. Step 6: Final answer
    x = 250.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.