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Finding the Fourth Proportional to 540.28, 809.20 and 323.40

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Solution

The fourth proportional to 540.28, 809.20 and 323.40 is: 484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.28 : 809.20 = 323.40 : x
  2. Step 2: Convert to fraction form
    540.28/809.20 = 323.40/x
  3. Step 3: Cross multiply
    540.28x = 809.20 × 323.40
  4. Step 4: Simplify right side
    540.28x = 261,695.28
  5. Step 5: Solve for x
    x = 261,695.28/540.28
  6. Step 6: Final answer
    x = 484.37

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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.