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Finding the Fourth Proportional to 441.20, 658.39 and 380.36

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Solution

The fourth proportional to 441.20, 658.39 and 380.36 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.20 : 658.39 = 380.36 : x
  2. Step 2: Convert to fraction form
    441.20/658.39 = 380.36/x
  3. Step 3: Cross multiply
    441.20x = 658.39 × 380.36
  4. Step 4: Simplify right side
    441.20x = 250,425.22
  5. Step 5: Solve for x
    x = 250,425.22/441.20
  6. Step 6: Final answer
    x = 567.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.