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Finding the Fourth Proportional to 539.08, 808 and 230.76

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Solution

The fourth proportional to 539.08, 808 and 230.76 is: 345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.08 : 808 = 230.76 : x
  2. Step 2: Convert to fraction form
    539.08/808 = 230.76/x
  3. Step 3: Cross multiply
    539.08x = 808 × 230.76
  4. Step 4: Simplify right side
    539.08x = 186,454.08
  5. Step 5: Solve for x
    x = 186,454.08/539.08
  6. Step 6: Final answer
    x = 345.87

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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.