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Finding the Fourth Proportional to 539.98, 809.75 and 193.24

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Solution

The fourth proportional to 539.98, 809.75 and 193.24 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.98 : 809.75 = 193.24 : x
  2. Step 2: Convert to fraction form
    539.98/809.75 = 193.24/x
  3. Step 3: Cross multiply
    539.98x = 809.75 × 193.24
  4. Step 4: Simplify right side
    539.98x = 156,476.09
  5. Step 5: Solve for x
    x = 156,476.09/539.98
  6. Step 6: Final answer
    x = 289.78

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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.