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Finding the Fourth Proportional to 181.09, 270.21 and 163.68

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Solution

The fourth proportional to 181.09, 270.21 and 163.68 is: 244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.09 : 270.21 = 163.68 : x
  2. Step 2: Convert to fraction form
    181.09/270.21 = 163.68/x
  3. Step 3: Cross multiply
    181.09x = 270.21 × 163.68
  4. Step 4: Simplify right side
    181.09x = 44,227.97
  5. Step 5: Solve for x
    x = 44,227.97/181.09
  6. Step 6: Final answer
    x = 244.23

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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.