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Finding the Fourth Proportional to 198.07, 295.92 and 191.25

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Solution

The fourth proportional to 198.07, 295.92 and 191.25 is: 285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.07 : 295.92 = 191.25 : x
  2. Step 2: Convert to fraction form
    198.07/295.92 = 191.25/x
  3. Step 3: Cross multiply
    198.07x = 295.92 × 191.25
  4. Step 4: Simplify right side
    198.07x = 56,594.70
  5. Step 5: Solve for x
    x = 56,594.70/198.07
  6. Step 6: Final answer
    x = 285.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.