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Finding the Fourth Proportional to 539.46, 809.46 and 214.79

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Solution

The fourth proportional to 539.46, 809.46 and 214.79 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.46 : 809.46 = 214.79 : x
  2. Step 2: Convert to fraction form
    539.46/809.46 = 214.79/x
  3. Step 3: Cross multiply
    539.46x = 809.46 × 214.79
  4. Step 4: Simplify right side
    539.46x = 173,859.87
  5. Step 5: Solve for x
    x = 173,859.87/539.46
  6. Step 6: Final answer
    x = 322.29

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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.