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Finding the Fourth Proportional to 380.76, 572.21 and 226.71

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Solution

The fourth proportional to 380.76, 572.21 and 226.71 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.76 : 572.21 = 226.71 : x
  2. Step 2: Convert to fraction form
    380.76/572.21 = 226.71/x
  3. Step 3: Cross multiply
    380.76x = 572.21 × 226.71
  4. Step 4: Simplify right side
    380.76x = 129,724.60
  5. Step 5: Solve for x
    x = 129,724.60/380.76
  6. Step 6: Final answer
    x = 340.70

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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.