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Finding the Fourth Proportional to 274.80, 379.36 and 181.60

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Solution

The fourth proportional to 274.80, 379.36 and 181.60 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.80 : 379.36 = 181.60 : x
  2. Step 2: Convert to fraction form
    274.80/379.36 = 181.60/x
  3. Step 3: Cross multiply
    274.80x = 379.36 × 181.60
  4. Step 4: Simplify right side
    274.80x = 68,891.78
  5. Step 5: Solve for x
    x = 68,891.78/274.80
  6. Step 6: Final answer
    x = 250.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.