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Finding the Fourth Proportional to 252.22, 378.33 and 144.09

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Solution

The fourth proportional to 252.22, 378.33 and 144.09 is: 216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.22 : 378.33 = 144.09 : x
  2. Step 2: Convert to fraction form
    252.22/378.33 = 144.09/x
  3. Step 3: Cross multiply
    252.22x = 378.33 × 144.09
  4. Step 4: Simplify right side
    252.22x = 54,513.57
  5. Step 5: Solve for x
    x = 54,513.57/252.22
  6. Step 6: Final answer
    x = 216.14

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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.