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Finding the Fourth Proportional to 227.60, 313.99 and 139.05

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Solution

The fourth proportional to 227.60, 313.99 and 139.05 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.60 : 313.99 = 139.05 : x
  2. Step 2: Convert to fraction form
    227.60/313.99 = 139.05/x
  3. Step 3: Cross multiply
    227.60x = 313.99 × 139.05
  4. Step 4: Simplify right side
    227.60x = 43,660.31
  5. Step 5: Solve for x
    x = 43,660.31/227.60
  6. Step 6: Final answer
    x = 191.83

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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.