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Finding the Fourth Proportional to 143.80, 198.32 and 106.85

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Solution

The fourth proportional to 143.80, 198.32 and 106.85 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.80 : 198.32 = 106.85 : x
  2. Step 2: Convert to fraction form
    143.80/198.32 = 106.85/x
  3. Step 3: Cross multiply
    143.80x = 198.32 × 106.85
  4. Step 4: Simplify right side
    143.80x = 21,190.45
  5. Step 5: Solve for x
    x = 21,190.45/143.80
  6. Step 6: Final answer
    x = 147.36

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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.