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Finding the Fourth Proportional to 227.75, 341.28 and 169.70

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Solution

The fourth proportional to 227.75, 341.28 and 169.70 is: 254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.75 : 341.28 = 169.70 : x
  2. Step 2: Convert to fraction form
    227.75/341.28 = 169.70/x
  3. Step 3: Cross multiply
    227.75x = 341.28 × 169.70
  4. Step 4: Simplify right side
    227.75x = 57,913.51
  5. Step 5: Solve for x
    x = 57,913.51/227.75
  6. Step 6: Final answer
    x = 254.29

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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.