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Finding the Fourth Proportional to 272.97, 409.55 and 110.78

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Solution

The fourth proportional to 272.97, 409.55 and 110.78 is: 166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 409.55 = 110.78 : x
  2. Step 2: Convert to fraction form
    272.97/409.55 = 110.78/x
  3. Step 3: Cross multiply
    272.97x = 409.55 × 110.78
  4. Step 4: Simplify right side
    272.97x = 45,367.35
  5. Step 5: Solve for x
    x = 45,367.35/272.97
  6. Step 6: Final answer
    x = 166.20

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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.