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Finding the Fourth Proportional to 441.38, 662.13 and 320.55

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Solution

The fourth proportional to 441.38, 662.13 and 320.55 is: 480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 662.13 = 320.55 : x
  2. Step 2: Convert to fraction form
    441.38/662.13 = 320.55/x
  3. Step 3: Cross multiply
    441.38x = 662.13 × 320.55
  4. Step 4: Simplify right side
    441.38x = 212,245.77
  5. Step 5: Solve for x
    x = 212,245.77/441.38
  6. Step 6: Final answer
    x = 480.87

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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.