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Finding the Fourth Proportional to 227.16, 339.02 and 205.29

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Solution

The fourth proportional to 227.16, 339.02 and 205.29 is: 306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 339.02 = 205.29 : x
  2. Step 2: Convert to fraction form
    227.16/339.02 = 205.29/x
  3. Step 3: Cross multiply
    227.16x = 339.02 × 205.29
  4. Step 4: Simplify right side
    227.16x = 69,595.89
  5. Step 5: Solve for x
    x = 69,595.89/227.16
  6. Step 6: Final answer
    x = 306.38

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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.