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Finding the Fourth Proportional to 198.08, 298.88 and 190.88

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Solution

The fourth proportional to 198.08, 298.88 and 190.88 is: 288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 298.88 = 190.88 : x
  2. Step 2: Convert to fraction form
    198.08/298.88 = 190.88/x
  3. Step 3: Cross multiply
    198.08x = 298.88 × 190.88
  4. Step 4: Simplify right side
    198.08x = 57,050.21
  5. Step 5: Solve for x
    x = 57,050.21/198.08
  6. Step 6: Final answer
    x = 288.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.