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Finding the Fourth Proportional to 143.71, 198.45 and 106.85

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Solution

The fourth proportional to 143.71, 198.45 and 106.85 is: 147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.71 : 198.45 = 106.85 : x
  2. Step 2: Convert to fraction form
    143.71/198.45 = 106.85/x
  3. Step 3: Cross multiply
    143.71x = 198.45 × 106.85
  4. Step 4: Simplify right side
    143.71x = 21,204.88
  5. Step 5: Solve for x
    x = 21,204.88/143.71
  6. Step 6: Final answer
    x = 147.56

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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.