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Finding the Fourth Proportional to 197.38, 295.83 and 68.98

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Solution

The fourth proportional to 197.38, 295.83 and 68.98 is: 103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.38 : 295.83 = 68.98 : x
  2. Step 2: Convert to fraction form
    197.38/295.83 = 68.98/x
  3. Step 3: Cross multiply
    197.38x = 295.83 × 68.98
  4. Step 4: Simplify right side
    197.38x = 20,406.35
  5. Step 5: Solve for x
    x = 20,406.35/197.38
  6. Step 6: Final answer
    x = 103.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.