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Finding the Fourth Proportional to 197.69, 295.81 and 140.05

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Solution

The fourth proportional to 197.69, 295.81 and 140.05 is: 209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 295.81 = 140.05 : x
  2. Step 2: Convert to fraction form
    197.69/295.81 = 140.05/x
  3. Step 3: Cross multiply
    197.69x = 295.81 × 140.05
  4. Step 4: Simplify right side
    197.69x = 41,428.21
  5. Step 5: Solve for x
    x = 41,428.21/197.69
  6. Step 6: Final answer
    x = 209.57

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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.