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Finding the Fourth Proportional to 274.30, 410.84 and 197.41

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Solution

The fourth proportional to 274.30, 410.84 and 197.41 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 410.84 = 197.41 : x
  2. Step 2: Convert to fraction form
    274.30/410.84 = 197.41/x
  3. Step 3: Cross multiply
    274.30x = 410.84 × 197.41
  4. Step 4: Simplify right side
    274.30x = 81,104.93
  5. Step 5: Solve for x
    x = 81,104.93/274.30
  6. Step 6: Final answer
    x = 295.68

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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.