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Finding the Fourth Proportional to 252.52, 377.89 and 179.23

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Solution

The fourth proportional to 252.52, 377.89 and 179.23 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.52 : 377.89 = 179.23 : x
  2. Step 2: Convert to fraction form
    252.52/377.89 = 179.23/x
  3. Step 3: Cross multiply
    252.52x = 377.89 × 179.23
  4. Step 4: Simplify right side
    252.52x = 67,729.22
  5. Step 5: Solve for x
    x = 67,729.22/252.52
  6. Step 6: Final answer
    x = 268.21

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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.