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Finding the Fourth Proportional to 197.46, 268.74 and 194.22

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Solution

The fourth proportional to 197.46, 268.74 and 194.22 is: 264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.46 : 268.74 = 194.22 : x
  2. Step 2: Convert to fraction form
    197.46/268.74 = 194.22/x
  3. Step 3: Cross multiply
    197.46x = 268.74 × 194.22
  4. Step 4: Simplify right side
    197.46x = 52,194.68
  5. Step 5: Solve for x
    x = 52,194.68/197.46
  6. Step 6: Final answer
    x = 264.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.