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Finding the Fourth Proportional to 232.81, 349.97 and 215.89

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Solution

The fourth proportional to 232.81, 349.97 and 215.89 is: 324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.81 : 349.97 = 215.89 : x
  2. Step 2: Convert to fraction form
    232.81/349.97 = 215.89/x
  3. Step 3: Cross multiply
    232.81x = 349.97 × 215.89
  4. Step 4: Simplify right side
    232.81x = 75,555.02
  5. Step 5: Solve for x
    x = 75,555.02/232.81
  6. Step 6: Final answer
    x = 324.54

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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.