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Finding the Fourth Proportional to 181.66, 272.24 and 85.27

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Solution

The fourth proportional to 181.66, 272.24 and 85.27 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.66 : 272.24 = 85.27 : x
  2. Step 2: Convert to fraction form
    181.66/272.24 = 85.27/x
  3. Step 3: Cross multiply
    181.66x = 272.24 × 85.27
  4. Step 4: Simplify right side
    181.66x = 23,212.54
  5. Step 5: Solve for x
    x = 23,212.54/181.66
  6. Step 6: Final answer
    x = 127.78

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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.