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Finding the Fourth Proportional to 252.62, 378.82 and 96.40

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Solution

The fourth proportional to 252.62, 378.82 and 96.40 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.62 : 378.82 = 96.40 : x
  2. Step 2: Convert to fraction form
    252.62/378.82 = 96.40/x
  3. Step 3: Cross multiply
    252.62x = 378.82 × 96.40
  4. Step 4: Simplify right side
    252.62x = 36,518.25
  5. Step 5: Solve for x
    x = 36,518.25/252.62
  6. Step 6: Final answer
    x = 144.56

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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.