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Finding the Fourth Proportional to 198.14, 297.02 and 137.31

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Solution

The fourth proportional to 198.14, 297.02 and 137.31 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 297.02 = 137.31 : x
  2. Step 2: Convert to fraction form
    198.14/297.02 = 137.31/x
  3. Step 3: Cross multiply
    198.14x = 297.02 × 137.31
  4. Step 4: Simplify right side
    198.14x = 40,783.13
  5. Step 5: Solve for x
    x = 40,783.13/198.14
  6. Step 6: Final answer
    x = 205.84

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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.