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Finding the Fourth Proportional to 539.21, 809.04 and 279.27

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Solution

The fourth proportional to 539.21, 809.04 and 279.27 is: 419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.21 : 809.04 = 279.27 : x
  2. Step 2: Convert to fraction form
    539.21/809.04 = 279.27/x
  3. Step 3: Cross multiply
    539.21x = 809.04 × 279.27
  4. Step 4: Simplify right side
    539.21x = 225,942.35
  5. Step 5: Solve for x
    x = 225,942.35/539.21
  6. Step 6: Final answer
    x = 419.03

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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.