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Finding the Fourth Proportional to 143.80, 198.06 and 121.92

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Solution

The fourth proportional to 143.80, 198.06 and 121.92 is: 167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.80 : 198.06 = 121.92 : x
  2. Step 2: Convert to fraction form
    143.80/198.06 = 121.92/x
  3. Step 3: Cross multiply
    143.80x = 198.06 × 121.92
  4. Step 4: Simplify right side
    143.80x = 24,147.48
  5. Step 5: Solve for x
    x = 24,147.48/143.80
  6. Step 6: Final answer
    x = 167.92

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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.