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Finding the Fourth Proportional to 539.11, 808.63 and 209.96

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Solution

The fourth proportional to 539.11, 808.63 and 209.96 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.11 : 808.63 = 209.96 : x
  2. Step 2: Convert to fraction form
    539.11/808.63 = 209.96/x
  3. Step 3: Cross multiply
    539.11x = 808.63 × 209.96
  4. Step 4: Simplify right side
    539.11x = 169,775.39
  5. Step 5: Solve for x
    x = 169,775.39/539.11
  6. Step 6: Final answer
    x = 314.92

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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.