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Finding the Fourth Proportional to 227.98, 339.57 and 207.33

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Solution

The fourth proportional to 227.98, 339.57 and 207.33 is: 308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.98 : 339.57 = 207.33 : x
  2. Step 2: Convert to fraction form
    227.98/339.57 = 207.33/x
  3. Step 3: Cross multiply
    227.98x = 339.57 × 207.33
  4. Step 4: Simplify right side
    227.98x = 70,403.05
  5. Step 5: Solve for x
    x = 70,403.05/227.98
  6. Step 6: Final answer
    x = 308.81

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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.