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Finding the Fourth Proportional to 181.67, 273.81 and 171.77

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Solution

The fourth proportional to 181.67, 273.81 and 171.77 is: 258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.67 : 273.81 = 171.77 : x
  2. Step 2: Convert to fraction form
    181.67/273.81 = 171.77/x
  3. Step 3: Cross multiply
    181.67x = 273.81 × 171.77
  4. Step 4: Simplify right side
    181.67x = 47,030.97
  5. Step 5: Solve for x
    x = 47,030.97/181.67
  6. Step 6: Final answer
    x = 258.89

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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.