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Finding the Fourth Proportional to 181.66, 272.42 and 113.20

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Solution

The fourth proportional to 181.66, 272.42 and 113.20 is: 169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.66 : 272.42 = 113.20 : x
  2. Step 2: Convert to fraction form
    181.66/272.42 = 113.20/x
  3. Step 3: Cross multiply
    181.66x = 272.42 × 113.20
  4. Step 4: Simplify right side
    181.66x = 30,837.94
  5. Step 5: Solve for x
    x = 30,837.94/181.66
  6. Step 6: Final answer
    x = 169.76

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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.