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Finding the Fourth Proportional to 198.08, 295 and 197.08

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Solution

The fourth proportional to 198.08, 295 and 197.08 is: 293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 295 = 197.08 : x
  2. Step 2: Convert to fraction form
    198.08/295 = 197.08/x
  3. Step 3: Cross multiply
    198.08x = 295 × 197.08
  4. Step 4: Simplify right side
    198.08x = 58,138.60
  5. Step 5: Solve for x
    x = 58,138.60/198.08
  6. Step 6: Final answer
    x = 293.51

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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.