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Finding the Fourth Proportional to 226.68, 310.79 and 222.57

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Solution

The fourth proportional to 226.68, 310.79 and 222.57 is: 305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.68 : 310.79 = 222.57 : x
  2. Step 2: Convert to fraction form
    226.68/310.79 = 222.57/x
  3. Step 3: Cross multiply
    226.68x = 310.79 × 222.57
  4. Step 4: Simplify right side
    226.68x = 69,171.42
  5. Step 5: Solve for x
    x = 69,171.42/226.68
  6. Step 6: Final answer
    x = 305.15

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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.