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Finding the Fourth Proportional to 642.26, 963.12 and 231.24

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Solution

The fourth proportional to 642.26, 963.12 and 231.24 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.26 : 963.12 = 231.24 : x
  2. Step 2: Convert to fraction form
    642.26/963.12 = 231.24/x
  3. Step 3: Cross multiply
    642.26x = 963.12 × 231.24
  4. Step 4: Simplify right side
    642.26x = 222,711.87
  5. Step 5: Solve for x
    x = 222,711.87/642.26
  6. Step 6: Final answer
    x = 346.76

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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.