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Finding the Fourth Proportional to 198.05, 296.53 and 137.03

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Solution

The fourth proportional to 198.05, 296.53 and 137.03 is: 205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 296.53 = 137.03 : x
  2. Step 2: Convert to fraction form
    198.05/296.53 = 137.03/x
  3. Step 3: Cross multiply
    198.05x = 296.53 × 137.03
  4. Step 4: Simplify right side
    198.05x = 40,631.68
  5. Step 5: Solve for x
    x = 40,631.68/198.05
  6. Step 6: Final answer
    x = 205.16

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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.