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Finding the Fourth Proportional to 642.35, 963.38 and 252.23

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Solution

The fourth proportional to 642.35, 963.38 and 252.23 is: 378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.35 : 963.38 = 252.23 : x
  2. Step 2: Convert to fraction form
    642.35/963.38 = 252.23/x
  3. Step 3: Cross multiply
    642.35x = 963.38 × 252.23
  4. Step 4: Simplify right side
    642.35x = 242,989.15
  5. Step 5: Solve for x
    x = 242,989.15/642.35
  6. Step 6: Final answer
    x = 378.28

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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.