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Finding the Fourth Proportional to 197.47, 271.96 and 169.84

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Solution

The fourth proportional to 197.47, 271.96 and 169.84 is: 233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.47 : 271.96 = 169.84 : x
  2. Step 2: Convert to fraction form
    197.47/271.96 = 169.84/x
  3. Step 3: Cross multiply
    197.47x = 271.96 × 169.84
  4. Step 4: Simplify right side
    197.47x = 46,189.69
  5. Step 5: Solve for x
    x = 46,189.69/197.47
  6. Step 6: Final answer
    x = 233.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.