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Finding the Fourth Proportional to 227.94, 343.61 and 212.87

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Solution

The fourth proportional to 227.94, 343.61 and 212.87 is: 320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.94 : 343.61 = 212.87 : x
  2. Step 2: Convert to fraction form
    227.94/343.61 = 212.87/x
  3. Step 3: Cross multiply
    227.94x = 343.61 × 212.87
  4. Step 4: Simplify right side
    227.94x = 73,144.26
  5. Step 5: Solve for x
    x = 73,144.26/227.94
  6. Step 6: Final answer
    x = 320.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.