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Finding the Fourth Proportional to 252.06, 379.56 and 180.42

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Solution

The fourth proportional to 252.06, 379.56 and 180.42 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 379.56 = 180.42 : x
  2. Step 2: Convert to fraction form
    252.06/379.56 = 180.42/x
  3. Step 3: Cross multiply
    252.06x = 379.56 × 180.42
  4. Step 4: Simplify right side
    252.06x = 68,480.22
  5. Step 5: Solve for x
    x = 68,480.22/252.06
  6. Step 6: Final answer
    x = 271.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.