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Finding the Fourth Proportional to 638.60, 957.89 and 227.78

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Solution

The fourth proportional to 638.60, 957.89 and 227.78 is: 341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.60 : 957.89 = 227.78 : x
  2. Step 2: Convert to fraction form
    638.60/957.89 = 227.78/x
  3. Step 3: Cross multiply
    638.60x = 957.89 × 227.78
  4. Step 4: Simplify right side
    638.60x = 218,183.96
  5. Step 5: Solve for x
    x = 218,183.96/638.60
  6. Step 6: Final answer
    x = 341.66

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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.