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Finding the Fourth Proportional to 352.80, 487.03 and 234.97

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Solution

The fourth proportional to 352.80, 487.03 and 234.97 is: 324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.80 : 487.03 = 234.97 : x
  2. Step 2: Convert to fraction form
    352.80/487.03 = 234.97/x
  3. Step 3: Cross multiply
    352.80x = 487.03 × 234.97
  4. Step 4: Simplify right side
    352.80x = 114,437.44
  5. Step 5: Solve for x
    x = 114,437.44/352.80
  6. Step 6: Final answer
    x = 324.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.