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Finding the Fourth Proportional to 197.20, 295.34 and 94.55

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Solution

The fourth proportional to 197.20, 295.34 and 94.55 is: 141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.20 : 295.34 = 94.55 : x
  2. Step 2: Convert to fraction form
    197.20/295.34 = 94.55/x
  3. Step 3: Cross multiply
    197.20x = 295.34 × 94.55
  4. Step 4: Simplify right side
    197.20x = 27,924.40
  5. Step 5: Solve for x
    x = 27,924.40/197.20
  6. Step 6: Final answer
    x = 141.61

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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.