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Finding the Fourth Proportional to 197.92, 297.04 and 140.20

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Solution

The fourth proportional to 197.92, 297.04 and 140.20 is: 210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.92 : 297.04 = 140.20 : x
  2. Step 2: Convert to fraction form
    197.92/297.04 = 140.20/x
  3. Step 3: Cross multiply
    197.92x = 297.04 × 140.20
  4. Step 4: Simplify right side
    197.92x = 41,643.52
  5. Step 5: Solve for x
    x = 41,643.52/197.92
  6. Step 6: Final answer
    x = 210.41

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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.