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Finding the Fourth Proportional to 227.80, 341.89 and 159.62

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Solution

The fourth proportional to 227.80, 341.89 and 159.62 is: 239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.80 : 341.89 = 159.62 : x
  2. Step 2: Convert to fraction form
    227.80/341.89 = 159.62/x
  3. Step 3: Cross multiply
    227.80x = 341.89 × 159.62
  4. Step 4: Simplify right side
    227.80x = 54,572.48
  5. Step 5: Solve for x
    x = 54,572.48/227.80
  6. Step 6: Final answer
    x = 239.56

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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.