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Finding the Fourth Proportional to 227.72, 340.98 and 136.20

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Solution

The fourth proportional to 227.72, 340.98 and 136.20 is: 203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.72 : 340.98 = 136.20 : x
  2. Step 2: Convert to fraction form
    227.72/340.98 = 136.20/x
  3. Step 3: Cross multiply
    227.72x = 340.98 × 136.20
  4. Step 4: Simplify right side
    227.72x = 46,441.48
  5. Step 5: Solve for x
    x = 46,441.48/227.72
  6. Step 6: Final answer
    x = 203.94

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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.