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Finding the Fourth Proportional to 195.66, 269.88 and 121.92

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Solution

The fourth proportional to 195.66, 269.88 and 121.92 is: 168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.66 : 269.88 = 121.92 : x
  2. Step 2: Convert to fraction form
    195.66/269.88 = 121.92/x
  3. Step 3: Cross multiply
    195.66x = 269.88 × 121.92
  4. Step 4: Simplify right side
    195.66x = 32,903.77
  5. Step 5: Solve for x
    x = 32,903.77/195.66
  6. Step 6: Final answer
    x = 168.17

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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.