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Finding the Fourth Proportional to 380.89, 572.40 and 226.84

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Solution

The fourth proportional to 380.89, 572.40 and 226.84 is: 340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.89 : 572.40 = 226.84 : x
  2. Step 2: Convert to fraction form
    380.89/572.40 = 226.84/x
  3. Step 3: Cross multiply
    380.89x = 572.40 × 226.84
  4. Step 4: Simplify right side
    380.89x = 129,843.22
  5. Step 5: Solve for x
    x = 129,843.22/380.89
  6. Step 6: Final answer
    x = 340.89

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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.