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Finding the Fourth Proportional to 227.09, 338.66 and 197.93

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Solution

The fourth proportional to 227.09, 338.66 and 197.93 is: 295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.09 : 338.66 = 197.93 : x
  2. Step 2: Convert to fraction form
    227.09/338.66 = 197.93/x
  3. Step 3: Cross multiply
    227.09x = 338.66 × 197.93
  4. Step 4: Simplify right side
    227.09x = 67,028.29
  5. Step 5: Solve for x
    x = 67,028.29/227.09
  6. Step 6: Final answer
    x = 295.17

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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.