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Finding the Fourth Proportional to 372.26, 556.97 and 226.05

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Solution

The fourth proportional to 372.26, 556.97 and 226.05 is: 338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.26 : 556.97 = 226.05 : x
  2. Step 2: Convert to fraction form
    372.26/556.97 = 226.05/x
  3. Step 3: Cross multiply
    372.26x = 556.97 × 226.05
  4. Step 4: Simplify right side
    372.26x = 125,901.94
  5. Step 5: Solve for x
    x = 125,901.94/372.26
  6. Step 6: Final answer
    x = 338.21

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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.