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Finding the Fourth Proportional to 234.50, 349.92 and 225.45

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Solution

The fourth proportional to 234.50, 349.92 and 225.45 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 349.92 = 225.45 : x
  2. Step 2: Convert to fraction form
    234.50/349.92 = 225.45/x
  3. Step 3: Cross multiply
    234.50x = 349.92 × 225.45
  4. Step 4: Simplify right side
    234.50x = 78,889.46
  5. Step 5: Solve for x
    x = 78,889.46/234.50
  6. Step 6: Final answer
    x = 336.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.