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Finding the Fourth Proportional to 539.36, 808.56 and 282.08

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Solution

The fourth proportional to 539.36, 808.56 and 282.08 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.36 : 808.56 = 282.08 : x
  2. Step 2: Convert to fraction form
    539.36/808.56 = 282.08/x
  3. Step 3: Cross multiply
    539.36x = 808.56 × 282.08
  4. Step 4: Simplify right side
    539.36x = 228,078.60
  5. Step 5: Solve for x
    x = 228,078.60/539.36
  6. Step 6: Final answer
    x = 422.87

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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.