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Finding the Fourth Proportional to 539.81, 809.89 and 192.91

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Solution

The fourth proportional to 539.81, 809.89 and 192.91 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.81 : 809.89 = 192.91 : x
  2. Step 2: Convert to fraction form
    539.81/809.89 = 192.91/x
  3. Step 3: Cross multiply
    539.81x = 809.89 × 192.91
  4. Step 4: Simplify right side
    539.81x = 156,233.13
  5. Step 5: Solve for x
    x = 156,233.13/539.81
  6. Step 6: Final answer
    x = 289.42

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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.