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Finding the Fourth Proportional to 226.80, 310.84 and 217.28

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Solution

The fourth proportional to 226.80, 310.84 and 217.28 is: 297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.80 : 310.84 = 217.28 : x
  2. Step 2: Convert to fraction form
    226.80/310.84 = 217.28/x
  3. Step 3: Cross multiply
    226.80x = 310.84 × 217.28
  4. Step 4: Simplify right side
    226.80x = 67,539.55
  5. Step 5: Solve for x
    x = 67,539.55/226.80
  6. Step 6: Final answer
    x = 297.79

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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.