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Finding the Fourth Proportional to 227.47, 340.83 and 105.70

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Solution

The fourth proportional to 227.47, 340.83 and 105.70 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.47 : 340.83 = 105.70 : x
  2. Step 2: Convert to fraction form
    227.47/340.83 = 105.70/x
  3. Step 3: Cross multiply
    227.47x = 340.83 × 105.70
  4. Step 4: Simplify right side
    227.47x = 36,025.73
  5. Step 5: Solve for x
    x = 36,025.73/227.47
  6. Step 6: Final answer
    x = 158.38

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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.