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Finding the Fourth Proportional to 234.54, 349.59 and 222.36

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Solution

The fourth proportional to 234.54, 349.59 and 222.36 is: 331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 349.59 = 222.36 : x
  2. Step 2: Convert to fraction form
    234.54/349.59 = 222.36/x
  3. Step 3: Cross multiply
    234.54x = 349.59 × 222.36
  4. Step 4: Simplify right side
    234.54x = 77,734.83
  5. Step 5: Solve for x
    x = 77,734.83/234.54
  6. Step 6: Final answer
    x = 331.44

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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.