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Finding the Fourth Proportional to 165.92, 229.03 and 122.18

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Solution

The fourth proportional to 165.92, 229.03 and 122.18 is: 168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 229.03 = 122.18 : x
  2. Step 2: Convert to fraction form
    165.92/229.03 = 122.18/x
  3. Step 3: Cross multiply
    165.92x = 229.03 × 122.18
  4. Step 4: Simplify right side
    165.92x = 27,981.43
  5. Step 5: Solve for x
    x = 27,981.43/165.92
  6. Step 6: Final answer
    x = 168.65

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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.