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Finding the Fourth Proportional to 234.35, 349.81 and 215.09

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Solution

The fourth proportional to 234.35, 349.81 and 215.09 is: 321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.35 : 349.81 = 215.09 : x
  2. Step 2: Convert to fraction form
    234.35/349.81 = 215.09/x
  3. Step 3: Cross multiply
    234.35x = 349.81 × 215.09
  4. Step 4: Simplify right side
    234.35x = 75,239.15
  5. Step 5: Solve for x
    x = 75,239.15/234.35
  6. Step 6: Final answer
    x = 321.06

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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.