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Finding the Fourth Proportional to 227.04, 338.49 and 205.17

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Solution

The fourth proportional to 227.04, 338.49 and 205.17 is: 305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 338.49 = 205.17 : x
  2. Step 2: Convert to fraction form
    227.04/338.49 = 205.17/x
  3. Step 3: Cross multiply
    227.04x = 338.49 × 205.17
  4. Step 4: Simplify right side
    227.04x = 69,447.99
  5. Step 5: Solve for x
    x = 69,447.99/227.04
  6. Step 6: Final answer
    x = 305.88

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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.