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Finding the Fourth Proportional to 227.07, 338.66 and 206.42

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Solution

The fourth proportional to 227.07, 338.66 and 206.42 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.07 : 338.66 = 206.42 : x
  2. Step 2: Convert to fraction form
    227.07/338.66 = 206.42/x
  3. Step 3: Cross multiply
    227.07x = 338.66 × 206.42
  4. Step 4: Simplify right side
    227.07x = 69,905.41
  5. Step 5: Solve for x
    x = 69,905.41/227.07
  6. Step 6: Final answer
    x = 307.86

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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.