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Finding the Fourth Proportional to 380.53, 571.85 and 226.48

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Solution

The fourth proportional to 380.53, 571.85 and 226.48 is: 340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 571.85 = 226.48 : x
  2. Step 2: Convert to fraction form
    380.53/571.85 = 226.48/x
  3. Step 3: Cross multiply
    380.53x = 571.85 × 226.48
  4. Step 4: Simplify right side
    380.53x = 129,511.08
  5. Step 5: Solve for x
    x = 129,511.08/380.53
  6. Step 6: Final answer
    x = 340.35

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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.