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Finding the Fourth Proportional to 252.62, 378.56 and 215.84

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Solution

The fourth proportional to 252.62, 378.56 and 215.84 is: 323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.62 : 378.56 = 215.84 : x
  2. Step 2: Convert to fraction form
    252.62/378.56 = 215.84/x
  3. Step 3: Cross multiply
    252.62x = 378.56 × 215.84
  4. Step 4: Simplify right side
    252.62x = 81,708.39
  5. Step 5: Solve for x
    x = 81,708.39/252.62
  6. Step 6: Final answer
    x = 323.44

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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.