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Finding the Fourth Proportional to 227.57, 340.76 and 159.23

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Solution

The fourth proportional to 227.57, 340.76 and 159.23 is: 238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.57 : 340.76 = 159.23 : x
  2. Step 2: Convert to fraction form
    227.57/340.76 = 159.23/x
  3. Step 3: Cross multiply
    227.57x = 340.76 × 159.23
  4. Step 4: Simplify right side
    227.57x = 54,256.71
  5. Step 5: Solve for x
    x = 54,256.71/227.57
  6. Step 6: Final answer
    x = 238.42

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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.