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Finding the Fourth Proportional to 198.40, 297.20 and 126

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Solution

The fourth proportional to 198.40, 297.20 and 126 is: 188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.40 : 297.20 = 126 : x
  2. Step 2: Convert to fraction form
    198.40/297.20 = 126/x
  3. Step 3: Cross multiply
    198.40x = 297.20 × 126
  4. Step 4: Simplify right side
    198.40x = 37,447.20
  5. Step 5: Solve for x
    x = 37,447.20/198.40
  6. Step 6: Final answer
    x = 188.75

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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.