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Finding the Fourth Proportional to 197.71, 295.19 and 166.66

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Solution

The fourth proportional to 197.71, 295.19 and 166.66 is: 248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.71 : 295.19 = 166.66 : x
  2. Step 2: Convert to fraction form
    197.71/295.19 = 166.66/x
  3. Step 3: Cross multiply
    197.71x = 295.19 × 166.66
  4. Step 4: Simplify right side
    197.71x = 49,196.37
  5. Step 5: Solve for x
    x = 49,196.37/197.71
  6. Step 6: Final answer
    x = 248.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.