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Finding the Fourth Proportional to 371.55, 556.24 and 226.29

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Solution

The fourth proportional to 371.55, 556.24 and 226.29 is: 338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.55 : 556.24 = 226.29 : x
  2. Step 2: Convert to fraction form
    371.55/556.24 = 226.29/x
  3. Step 3: Cross multiply
    371.55x = 556.24 × 226.29
  4. Step 4: Simplify right side
    371.55x = 125,871.55
  5. Step 5: Solve for x
    x = 125,871.55/371.55
  6. Step 6: Final answer
    x = 338.77

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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.