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Finding the Fourth Proportional to 352.09, 485.58 and 227.71

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Solution

The fourth proportional to 352.09, 485.58 and 227.71 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.09 : 485.58 = 227.71 : x
  2. Step 2: Convert to fraction form
    352.09/485.58 = 227.71/x
  3. Step 3: Cross multiply
    352.09x = 485.58 × 227.71
  4. Step 4: Simplify right side
    352.09x = 110,571.42
  5. Step 5: Solve for x
    x = 110,571.42/352.09
  6. Step 6: Final answer
    x = 314.04

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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.