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Finding the Fourth Proportional to 198.84, 298.14 and 101.33

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Solution

The fourth proportional to 198.84, 298.14 and 101.33 is: 151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 298.14 = 101.33 : x
  2. Step 2: Convert to fraction form
    198.84/298.14 = 101.33/x
  3. Step 3: Cross multiply
    198.84x = 298.14 × 101.33
  4. Step 4: Simplify right side
    198.84x = 30,209.04
  5. Step 5: Solve for x
    x = 30,209.04/198.84
  6. Step 6: Final answer
    x = 151.93

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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.