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Finding the Fourth Proportional to 539.53, 809.09 and 214.79

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Solution

The fourth proportional to 539.53, 809.09 and 214.79 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.53 : 809.09 = 214.79 : x
  2. Step 2: Convert to fraction form
    539.53/809.09 = 214.79/x
  3. Step 3: Cross multiply
    539.53x = 809.09 × 214.79
  4. Step 4: Simplify right side
    539.53x = 173,780.13
  5. Step 5: Solve for x
    x = 173,780.13/539.53
  6. Step 6: Final answer
    x = 322.10

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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.