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Finding the Fourth Proportional to 275.45, 379.80 and 249.53

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Solution

The fourth proportional to 275.45, 379.80 and 249.53 is: 344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.45 : 379.80 = 249.53 : x
  2. Step 2: Convert to fraction form
    275.45/379.80 = 249.53/x
  3. Step 3: Cross multiply
    275.45x = 379.80 × 249.53
  4. Step 4: Simplify right side
    275.45x = 94,769.60
  5. Step 5: Solve for x
    x = 94,769.60/275.45
  6. Step 6: Final answer
    x = 344.06

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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.