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Finding the Fourth Proportional to 181.38, 270.48 and 161.71

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Solution

The fourth proportional to 181.38, 270.48 and 161.71 is: 241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 270.48 = 161.71 : x
  2. Step 2: Convert to fraction form
    181.38/270.48 = 161.71/x
  3. Step 3: Cross multiply
    181.38x = 270.48 × 161.71
  4. Step 4: Simplify right side
    181.38x = 43,739.32
  5. Step 5: Solve for x
    x = 43,739.32/181.38
  6. Step 6: Final answer
    x = 241.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.