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Finding the Fourth Proportional to 163.92, 225.68 and 142.08

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Solution

The fourth proportional to 163.92, 225.68 and 142.08 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 225.68 = 142.08 : x
  2. Step 2: Convert to fraction form
    163.92/225.68 = 142.08/x
  3. Step 3: Cross multiply
    163.92x = 225.68 × 142.08
  4. Step 4: Simplify right side
    163.92x = 32,064.61
  5. Step 5: Solve for x
    x = 32,064.61/163.92
  6. Step 6: Final answer
    x = 195.61

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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.