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Finding the Fourth Proportional to 226.88, 310.90 and 219.32

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Solution

The fourth proportional to 226.88, 310.90 and 219.32 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.88 : 310.90 = 219.32 : x
  2. Step 2: Convert to fraction form
    226.88/310.90 = 219.32/x
  3. Step 3: Cross multiply
    226.88x = 310.90 × 219.32
  4. Step 4: Simplify right side
    226.88x = 68,186.59
  5. Step 5: Solve for x
    x = 68,186.59/226.88
  6. Step 6: Final answer
    x = 300.54

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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.