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Finding the Fourth Proportional to 351.80, 485.39 and 227.26

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Solution

The fourth proportional to 351.80, 485.39 and 227.26 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.80 : 485.39 = 227.26 : x
  2. Step 2: Convert to fraction form
    351.80/485.39 = 227.26/x
  3. Step 3: Cross multiply
    351.80x = 485.39 × 227.26
  4. Step 4: Simplify right side
    351.80x = 110,309.09
  5. Step 5: Solve for x
    x = 110,309.09/351.80
  6. Step 6: Final answer
    x = 313.56

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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.