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Finding the Fourth Proportional to 198.41, 295.33 and 195.48

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Solution

The fourth proportional to 198.41, 295.33 and 195.48 is: 290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.41 : 295.33 = 195.48 : x
  2. Step 2: Convert to fraction form
    198.41/295.33 = 195.48/x
  3. Step 3: Cross multiply
    198.41x = 295.33 × 195.48
  4. Step 4: Simplify right side
    198.41x = 57,731.11
  5. Step 5: Solve for x
    x = 57,731.11/198.41
  6. Step 6: Final answer
    x = 290.97

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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.