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Finding the Fourth Proportional to 197.58, 270.69 and 195.69

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Solution

The fourth proportional to 197.58, 270.69 and 195.69 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.58 : 270.69 = 195.69 : x
  2. Step 2: Convert to fraction form
    197.58/270.69 = 195.69/x
  3. Step 3: Cross multiply
    197.58x = 270.69 × 195.69
  4. Step 4: Simplify right side
    197.58x = 52,971.33
  5. Step 5: Solve for x
    x = 52,971.33/197.58
  6. Step 6: Final answer
    x = 268.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.