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Finding the Fourth Proportional to 441.80, 662.70 and 280.20

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Solution

The fourth proportional to 441.80, 662.70 and 280.20 is: 420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.80 : 662.70 = 280.20 : x
  2. Step 2: Convert to fraction form
    441.80/662.70 = 280.20/x
  3. Step 3: Cross multiply
    441.80x = 662.70 × 280.20
  4. Step 4: Simplify right side
    441.80x = 185,688.54
  5. Step 5: Solve for x
    x = 185,688.54/441.80
  6. Step 6: Final answer
    x = 420.30

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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.