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Finding the Fourth Proportional to 300.90, 415.49 and 227.09

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Solution

The fourth proportional to 300.90, 415.49 and 227.09 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 415.49 = 227.09 : x
  2. Step 2: Convert to fraction form
    300.90/415.49 = 227.09/x
  3. Step 3: Cross multiply
    300.90x = 415.49 × 227.09
  4. Step 4: Simplify right side
    300.90x = 94,353.62
  5. Step 5: Solve for x
    x = 94,353.62/300.90
  6. Step 6: Final answer
    x = 313.57

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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.