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Finding the Fourth Proportional to 642.28, 963.50 and 231.31

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Solution

The fourth proportional to 642.28, 963.50 and 231.31 is: 346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.28 : 963.50 = 231.31 : x
  2. Step 2: Convert to fraction form
    642.28/963.50 = 231.31/x
  3. Step 3: Cross multiply
    642.28x = 963.50 × 231.31
  4. Step 4: Simplify right side
    642.28x = 222,867.19
  5. Step 5: Solve for x
    x = 222,867.19/642.28
  6. Step 6: Final answer
    x = 346.99

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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.