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Finding the Fourth Proportional to 163.92, 225.96 and 141.84

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Solution

The fourth proportional to 163.92, 225.96 and 141.84 is: 195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 225.96 = 141.84 : x
  2. Step 2: Convert to fraction form
    163.92/225.96 = 141.84/x
  3. Step 3: Cross multiply
    163.92x = 225.96 × 141.84
  4. Step 4: Simplify right side
    163.92x = 32,050.17
  5. Step 5: Solve for x
    x = 32,050.17/163.92
  6. Step 6: Final answer
    x = 195.52

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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.