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Finding the Fourth Proportional to 163.92, 226.20 and 93.98

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Solution

The fourth proportional to 163.92, 226.20 and 93.98 is: 129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 226.20 = 93.98 : x
  2. Step 2: Convert to fraction form
    163.92/226.20 = 93.98/x
  3. Step 3: Cross multiply
    163.92x = 226.20 × 93.98
  4. Step 4: Simplify right side
    163.92x = 21,258.28
  5. Step 5: Solve for x
    x = 21,258.28/163.92
  6. Step 6: Final answer
    x = 129.69

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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.