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Finding the Fourth Proportional to 226.96, 310.94 and 218.32

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Solution

The fourth proportional to 226.96, 310.94 and 218.32 is: 299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.96 : 310.94 = 218.32 : x
  2. Step 2: Convert to fraction form
    226.96/310.94 = 218.32/x
  3. Step 3: Cross multiply
    226.96x = 310.94 × 218.32
  4. Step 4: Simplify right side
    226.96x = 67,884.42
  5. Step 5: Solve for x
    x = 67,884.42/226.96
  6. Step 6: Final answer
    x = 299.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.