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Finding the Fourth Proportional to 198.29, 298.58 and 147.29

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Solution

The fourth proportional to 198.29, 298.58 and 147.29 is: 221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.29 : 298.58 = 147.29 : x
  2. Step 2: Convert to fraction form
    198.29/298.58 = 147.29/x
  3. Step 3: Cross multiply
    198.29x = 298.58 × 147.29
  4. Step 4: Simplify right side
    198.29x = 43,976.72
  5. Step 5: Solve for x
    x = 43,976.72/198.29
  6. Step 6: Final answer
    x = 221.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.