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Finding the Fourth Proportional to 197.08, 295.61 and 81.39

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Solution

The fourth proportional to 197.08, 295.61 and 81.39 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.08 : 295.61 = 81.39 : x
  2. Step 2: Convert to fraction form
    197.08/295.61 = 81.39/x
  3. Step 3: Cross multiply
    197.08x = 295.61 × 81.39
  4. Step 4: Simplify right side
    197.08x = 24,061.01
  5. Step 5: Solve for x
    x = 24,061.01/197.08
  6. Step 6: Final answer
    x = 122.09

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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.