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Finding the Fourth Proportional to 181.85, 272.30 and 166.81

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Solution

The fourth proportional to 181.85, 272.30 and 166.81 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.85 : 272.30 = 166.81 : x
  2. Step 2: Convert to fraction form
    181.85/272.30 = 166.81/x
  3. Step 3: Cross multiply
    181.85x = 272.30 × 166.81
  4. Step 4: Simplify right side
    181.85x = 45,422.36
  5. Step 5: Solve for x
    x = 45,422.36/181.85
  6. Step 6: Final answer
    x = 249.78

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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.