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Finding the Fourth Proportional to 226.94, 342.10 and 211.87

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Solution

The fourth proportional to 226.94, 342.10 and 211.87 is: 319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.94 : 342.10 = 211.87 : x
  2. Step 2: Convert to fraction form
    226.94/342.10 = 211.87/x
  3. Step 3: Cross multiply
    226.94x = 342.10 × 211.87
  4. Step 4: Simplify right side
    226.94x = 72,481.68
  5. Step 5: Solve for x
    x = 72,481.68/226.94
  6. Step 6: Final answer
    x = 319.39

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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.