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Finding the Fourth Proportional to 198.16, 296.90 and 137.08

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Solution

The fourth proportional to 198.16, 296.90 and 137.08 is: 205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.16 : 296.90 = 137.08 : x
  2. Step 2: Convert to fraction form
    198.16/296.90 = 137.08/x
  3. Step 3: Cross multiply
    198.16x = 296.90 × 137.08
  4. Step 4: Simplify right side
    198.16x = 40,699.05
  5. Step 5: Solve for x
    x = 40,699.05/198.16
  6. Step 6: Final answer
    x = 205.38

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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.