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Finding the Fourth Proportional to 227.91, 339.94 and 215.76

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Solution

The fourth proportional to 227.91, 339.94 and 215.76 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.91 : 339.94 = 215.76 : x
  2. Step 2: Convert to fraction form
    227.91/339.94 = 215.76/x
  3. Step 3: Cross multiply
    227.91x = 339.94 × 215.76
  4. Step 4: Simplify right side
    227.91x = 73,344.38
  5. Step 5: Solve for x
    x = 73,344.38/227.91
  6. Step 6: Final answer
    x = 321.81

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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.