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Finding the Fourth Proportional to 642.14, 963.75 and 252.41

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Solution

The fourth proportional to 642.14, 963.75 and 252.41 is: 378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 963.75 = 252.41 : x
  2. Step 2: Convert to fraction form
    642.14/963.75 = 252.41/x
  3. Step 3: Cross multiply
    642.14x = 963.75 × 252.41
  4. Step 4: Simplify right side
    642.14x = 243,260.45
  5. Step 5: Solve for x
    x = 243,260.45/642.14
  6. Step 6: Final answer
    x = 378.83

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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.