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Finding the Fourth Proportional to 198.81, 298.05 and 138.06

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Solution

The fourth proportional to 198.81, 298.05 and 138.06 is: 206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.81 : 298.05 = 138.06 : x
  2. Step 2: Convert to fraction form
    198.81/298.05 = 138.06/x
  3. Step 3: Cross multiply
    198.81x = 298.05 × 138.06
  4. Step 4: Simplify right side
    198.81x = 41,148.78
  5. Step 5: Solve for x
    x = 41,148.78/198.81
  6. Step 6: Final answer
    x = 206.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.