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Finding the Fourth Proportional to 181.29, 270.62 and 169.14

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Solution

The fourth proportional to 181.29, 270.62 and 169.14 is: 252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.29 : 270.62 = 169.14 : x
  2. Step 2: Convert to fraction form
    181.29/270.62 = 169.14/x
  3. Step 3: Cross multiply
    181.29x = 270.62 × 169.14
  4. Step 4: Simplify right side
    181.29x = 45,771.82
  5. Step 5: Solve for x
    x = 45,771.82/181.29
  6. Step 6: Final answer
    x = 252.48

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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.