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Finding the Fourth Proportional to 198.58, 299.62 and 196.96

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Solution

The fourth proportional to 198.58, 299.62 and 196.96 is: 297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.58 : 299.62 = 196.96 : x
  2. Step 2: Convert to fraction form
    198.58/299.62 = 196.96/x
  3. Step 3: Cross multiply
    198.58x = 299.62 × 196.96
  4. Step 4: Simplify right side
    198.58x = 59,013.16
  5. Step 5: Solve for x
    x = 59,013.16/198.58
  6. Step 6: Final answer
    x = 297.18

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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.