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Finding the Fourth Proportional to 300.63, 415.26 and 222.11

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Solution

The fourth proportional to 300.63, 415.26 and 222.11 is: 306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.63 : 415.26 = 222.11 : x
  2. Step 2: Convert to fraction form
    300.63/415.26 = 222.11/x
  3. Step 3: Cross multiply
    300.63x = 415.26 × 222.11
  4. Step 4: Simplify right side
    300.63x = 92,231.32
  5. Step 5: Solve for x
    x = 92,231.32/300.63
  6. Step 6: Final answer
    x = 306.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.