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Finding the Fourth Proportional to 274.96, 409.80 and 272.70

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Solution

The fourth proportional to 274.96, 409.80 and 272.70 is: 406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.96 : 409.80 = 272.70 : x
  2. Step 2: Convert to fraction form
    274.96/409.80 = 272.70/x
  3. Step 3: Cross multiply
    274.96x = 409.80 × 272.70
  4. Step 4: Simplify right side
    274.96x = 111,752.46
  5. Step 5: Solve for x
    x = 111,752.46/274.96
  6. Step 6: Final answer
    x = 406.43

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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.