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Finding the Fourth Proportional to 274.06, 408.94 and 218.60

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Solution

The fourth proportional to 274.06, 408.94 and 218.60 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.06 : 408.94 = 218.60 : x
  2. Step 2: Convert to fraction form
    274.06/408.94 = 218.60/x
  3. Step 3: Cross multiply
    274.06x = 408.94 × 218.60
  4. Step 4: Simplify right side
    274.06x = 89,394.28
  5. Step 5: Solve for x
    x = 89,394.28/274.06
  6. Step 6: Final answer
    x = 326.19

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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.