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Finding the Fourth Proportional to 252.43, 377.78 and 159.84

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Solution

The fourth proportional to 252.43, 377.78 and 159.84 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.43 : 377.78 = 159.84 : x
  2. Step 2: Convert to fraction form
    252.43/377.78 = 159.84/x
  3. Step 3: Cross multiply
    252.43x = 377.78 × 159.84
  4. Step 4: Simplify right side
    252.43x = 60,383.56
  5. Step 5: Solve for x
    x = 60,383.56/252.43
  6. Step 6: Final answer
    x = 239.21

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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.