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Finding the Fourth Proportional to 227.32, 340.98 and 142.36

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Solution

The fourth proportional to 227.32, 340.98 and 142.36 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.32 : 340.98 = 142.36 : x
  2. Step 2: Convert to fraction form
    227.32/340.98 = 142.36/x
  3. Step 3: Cross multiply
    227.32x = 340.98 × 142.36
  4. Step 4: Simplify right side
    227.32x = 48,541.91
  5. Step 5: Solve for x
    x = 48,541.91/227.32
  6. Step 6: Final answer
    x = 213.54

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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.