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Finding the Fourth Proportional to 642.21, 963.41 and 231.27

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Solution

The fourth proportional to 642.21, 963.41 and 231.27 is: 346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.21 : 963.41 = 231.27 : x
  2. Step 2: Convert to fraction form
    642.21/963.41 = 231.27/x
  3. Step 3: Cross multiply
    642.21x = 963.41 × 231.27
  4. Step 4: Simplify right side
    642.21x = 222,806.67
  5. Step 5: Solve for x
    x = 222,806.67/642.21
  6. Step 6: Final answer
    x = 346.94

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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.