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Finding the Fourth Proportional to 371.22, 556.86 and 225.96

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Solution

The fourth proportional to 371.22, 556.86 and 225.96 is: 338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.22 : 556.86 = 225.96 : x
  2. Step 2: Convert to fraction form
    371.22/556.86 = 225.96/x
  3. Step 3: Cross multiply
    371.22x = 556.86 × 225.96
  4. Step 4: Simplify right side
    371.22x = 125,828.09
  5. Step 5: Solve for x
    x = 125,828.09/371.22
  6. Step 6: Final answer
    x = 338.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.