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Finding the Fourth Proportional to 234.07, 349.39 and 223.54

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Solution

The fourth proportional to 234.07, 349.39 and 223.54 is: 333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.07 : 349.39 = 223.54 : x
  2. Step 2: Convert to fraction form
    234.07/349.39 = 223.54/x
  3. Step 3: Cross multiply
    234.07x = 349.39 × 223.54
  4. Step 4: Simplify right side
    234.07x = 78,102.64
  5. Step 5: Solve for x
    x = 78,102.64/234.07
  6. Step 6: Final answer
    x = 333.67

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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.