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Finding the Fourth Proportional to 275.10, 379.50 and 180.71

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Solution

The fourth proportional to 275.10, 379.50 and 180.71 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.10 : 379.50 = 180.71 : x
  2. Step 2: Convert to fraction form
    275.10/379.50 = 180.71/x
  3. Step 3: Cross multiply
    275.10x = 379.50 × 180.71
  4. Step 4: Simplify right side
    275.10x = 68,577.55
  5. Step 5: Solve for x
    x = 68,577.55/275.10
  6. Step 6: Final answer
    x = 249.28

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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.