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Finding the Fourth Proportional to 360.25, 539.99 and 186.73

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Solution

The fourth proportional to 360.25, 539.99 and 186.73 is: 279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.25 : 539.99 = 186.73 : x
  2. Step 2: Convert to fraction form
    360.25/539.99 = 186.73/x
  3. Step 3: Cross multiply
    360.25x = 539.99 × 186.73
  4. Step 4: Simplify right side
    360.25x = 100,832.79
  5. Step 5: Solve for x
    x = 100,832.79/360.25
  6. Step 6: Final answer
    x = 279.90

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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.