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Finding the Fourth Proportional to 539.78, 809.46 and 193.08

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Solution

The fourth proportional to 539.78, 809.46 and 193.08 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.78 : 809.46 = 193.08 : x
  2. Step 2: Convert to fraction form
    539.78/809.46 = 193.08/x
  3. Step 3: Cross multiply
    539.78x = 809.46 × 193.08
  4. Step 4: Simplify right side
    539.78x = 156,290.54
  5. Step 5: Solve for x
    x = 156,290.54/539.78
  6. Step 6: Final answer
    x = 289.54

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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.