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Finding the Fourth Proportional to 275.55, 411.56 and 249.48

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Solution

The fourth proportional to 275.55, 411.56 and 249.48 is: 372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.55 : 411.56 = 249.48 : x
  2. Step 2: Convert to fraction form
    275.55/411.56 = 249.48/x
  3. Step 3: Cross multiply
    275.55x = 411.56 × 249.48
  4. Step 4: Simplify right side
    275.55x = 102,675.99
  5. Step 5: Solve for x
    x = 102,675.99/275.55
  6. Step 6: Final answer
    x = 372.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.