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Finding the Fourth Proportional to 181.86, 273.42 and 171.96

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Solution

The fourth proportional to 181.86, 273.42 and 171.96 is: 258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 273.42 = 171.96 : x
  2. Step 2: Convert to fraction form
    181.86/273.42 = 171.96/x
  3. Step 3: Cross multiply
    181.86x = 273.42 × 171.96
  4. Step 4: Simplify right side
    181.86x = 47,017.30
  5. Step 5: Solve for x
    x = 47,017.30/181.86
  6. Step 6: Final answer
    x = 258.54

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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.