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Finding the Fourth Proportional to 197.94, 297.01 and 140.53

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Solution

The fourth proportional to 197.94, 297.01 and 140.53 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 297.01 = 140.53 : x
  2. Step 2: Convert to fraction form
    197.94/297.01 = 140.53/x
  3. Step 3: Cross multiply
    197.94x = 297.01 × 140.53
  4. Step 4: Simplify right side
    197.94x = 41,738.82
  5. Step 5: Solve for x
    x = 41,738.82/197.94
  6. Step 6: Final answer
    x = 210.87

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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.