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Finding the Fourth Proportional to 227.98, 342.09 and 106.21

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Solution

The fourth proportional to 227.98, 342.09 and 106.21 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.98 : 342.09 = 106.21 : x
  2. Step 2: Convert to fraction form
    227.98/342.09 = 106.21/x
  3. Step 3: Cross multiply
    227.98x = 342.09 × 106.21
  4. Step 4: Simplify right side
    227.98x = 36,333.38
  5. Step 5: Solve for x
    x = 36,333.38/227.98
  6. Step 6: Final answer
    x = 159.37

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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.