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Finding the Fourth Proportional to 197.87, 297.41 and 193.61

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Solution

The fourth proportional to 197.87, 297.41 and 193.61 is: 291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.87 : 297.41 = 193.61 : x
  2. Step 2: Convert to fraction form
    197.87/297.41 = 193.61/x
  3. Step 3: Cross multiply
    197.87x = 297.41 × 193.61
  4. Step 4: Simplify right side
    197.87x = 57,581.33
  5. Step 5: Solve for x
    x = 57,581.33/197.87
  6. Step 6: Final answer
    x = 291.01

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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.