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Finding the Fourth Proportional to 198.72, 295.56 and 196.20

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Solution

The fourth proportional to 198.72, 295.56 and 196.20 is: 291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 295.56 = 196.20 : x
  2. Step 2: Convert to fraction form
    198.72/295.56 = 196.20/x
  3. Step 3: Cross multiply
    198.72x = 295.56 × 196.20
  4. Step 4: Simplify right side
    198.72x = 57,988.87
  5. Step 5: Solve for x
    x = 57,988.87/198.72
  6. Step 6: Final answer
    x = 291.81

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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.