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Finding the Fourth Proportional to 539.25, 808.19 and 230.74

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Solution

The fourth proportional to 539.25, 808.19 and 230.74 is: 345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.25 : 808.19 = 230.74 : x
  2. Step 2: Convert to fraction form
    539.25/808.19 = 230.74/x
  3. Step 3: Cross multiply
    539.25x = 808.19 × 230.74
  4. Step 4: Simplify right side
    539.25x = 186,481.76
  5. Step 5: Solve for x
    x = 186,481.76/539.25
  6. Step 6: Final answer
    x = 345.82

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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.