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Finding the Fourth Proportional to 274.17, 411.53 and 205.86

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Solution

The fourth proportional to 274.17, 411.53 and 205.86 is: 308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 411.53 = 205.86 : x
  2. Step 2: Convert to fraction form
    274.17/411.53 = 205.86/x
  3. Step 3: Cross multiply
    274.17x = 411.53 × 205.86
  4. Step 4: Simplify right side
    274.17x = 84,716.54
  5. Step 5: Solve for x
    x = 84,716.54/274.17
  6. Step 6: Final answer
    x = 308.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.