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Finding the Fourth Proportional to 380.60, 571.12 and 226.90

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Solution

The fourth proportional to 380.60, 571.12 and 226.90 is: 340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.60 : 571.12 = 226.90 : x
  2. Step 2: Convert to fraction form
    380.60/571.12 = 226.90/x
  3. Step 3: Cross multiply
    380.60x = 571.12 × 226.90
  4. Step 4: Simplify right side
    380.60x = 129,587.27
  5. Step 5: Solve for x
    x = 129,587.27/380.60
  6. Step 6: Final answer
    x = 340.48

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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.