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Finding the Fourth Proportional to 197.30, 271.59 and 169.61

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Solution

The fourth proportional to 197.30, 271.59 and 169.61 is: 233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.30 : 271.59 = 169.61 : x
  2. Step 2: Convert to fraction form
    197.30/271.59 = 169.61/x
  3. Step 3: Cross multiply
    197.30x = 271.59 × 169.61
  4. Step 4: Simplify right side
    197.30x = 46,064.38
  5. Step 5: Solve for x
    x = 46,064.38/197.30
  6. Step 6: Final answer
    x = 233.47

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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.