Home / 198.14-296.66-133.25

Finding the Fourth Proportional to 198.14, 296.66 and 133.25

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Solution

The fourth proportional to 198.14, 296.66 and 133.25 is: 199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 296.66 = 133.25 : x
  2. Step 2: Convert to fraction form
    198.14/296.66 = 133.25/x
  3. Step 3: Cross multiply
    198.14x = 296.66 × 133.25
  4. Step 4: Simplify right side
    198.14x = 39,528.79
  5. Step 5: Solve for x
    x = 39,528.79/198.14
  6. Step 6: Final answer
    x = 199.50

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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.