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Finding the Fourth Proportional to 197.25, 295.91 and 89.12

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Solution

The fourth proportional to 197.25, 295.91 and 89.12 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.25 : 295.91 = 89.12 : x
  2. Step 2: Convert to fraction form
    197.25/295.91 = 89.12/x
  3. Step 3: Cross multiply
    197.25x = 295.91 × 89.12
  4. Step 4: Simplify right side
    197.25x = 26,369.57
  5. Step 5: Solve for x
    x = 26,369.57/197.25
  6. Step 6: Final answer
    x = 133.69

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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.