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Finding the Fourth Proportional to 664.34, 996.67 and 231.50

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Solution

The fourth proportional to 664.34, 996.67 and 231.50 is: 347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.34 : 996.67 = 231.50 : x
  2. Step 2: Convert to fraction form
    664.34/996.67 = 231.50/x
  3. Step 3: Cross multiply
    664.34x = 996.67 × 231.50
  4. Step 4: Simplify right side
    664.34x = 230,729.11
  5. Step 5: Solve for x
    x = 230,729.11/664.34
  6. Step 6: Final answer
    x = 347.31

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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.