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Finding the Fourth Proportional to 360.39, 497.50 and 227.73

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Solution

The fourth proportional to 360.39, 497.50 and 227.73 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.39 : 497.50 = 227.73 : x
  2. Step 2: Convert to fraction form
    360.39/497.50 = 227.73/x
  3. Step 3: Cross multiply
    360.39x = 497.50 × 227.73
  4. Step 4: Simplify right side
    360.39x = 113,295.68
  5. Step 5: Solve for x
    x = 113,295.68/360.39
  6. Step 6: Final answer
    x = 314.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.