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Finding the Fourth Proportional to 163.82, 225.99 and 132.80

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Solution

The fourth proportional to 163.82, 225.99 and 132.80 is: 183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 225.99 = 132.80 : x
  2. Step 2: Convert to fraction form
    163.82/225.99 = 132.80/x
  3. Step 3: Cross multiply
    163.82x = 225.99 × 132.80
  4. Step 4: Simplify right side
    163.82x = 30,010.34
  5. Step 5: Solve for x
    x = 30,010.34/163.82
  6. Step 6: Final answer
    x = 183.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.