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Finding the Fourth Proportional to 539.25, 808.28 and 279.27

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Solution

The fourth proportional to 539.25, 808.28 and 279.27 is: 418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.25 : 808.28 = 279.27 : x
  2. Step 2: Convert to fraction form
    539.25/808.28 = 279.27/x
  3. Step 3: Cross multiply
    539.25x = 808.28 × 279.27
  4. Step 4: Simplify right side
    539.25x = 225,728.36
  5. Step 5: Solve for x
    x = 225,728.36/539.25
  6. Step 6: Final answer
    x = 418.60

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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.