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Finding the Fourth Proportional to 252.09, 378.17 and 142.28

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Solution

The fourth proportional to 252.09, 378.17 and 142.28 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.09 : 378.17 = 142.28 : x
  2. Step 2: Convert to fraction form
    252.09/378.17 = 142.28/x
  3. Step 3: Cross multiply
    252.09x = 378.17 × 142.28
  4. Step 4: Simplify right side
    252.09x = 53,803.43
  5. Step 5: Solve for x
    x = 53,803.43/252.09
  6. Step 6: Final answer
    x = 213.43

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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.