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Finding the Fourth Proportional to 252.62, 378.69 and 81.50

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Solution

The fourth proportional to 252.62, 378.69 and 81.50 is: 122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.62 : 378.69 = 81.50 : x
  2. Step 2: Convert to fraction form
    252.62/378.69 = 81.50/x
  3. Step 3: Cross multiply
    252.62x = 378.69 × 81.50
  4. Step 4: Simplify right side
    252.62x = 30,863.24
  5. Step 5: Solve for x
    x = 30,863.24/252.62
  6. Step 6: Final answer
    x = 122.17

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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.