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Finding the Fourth Proportional to 296.85, 409.83 and 197.43

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Solution

The fourth proportional to 296.85, 409.83 and 197.43 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.85 : 409.83 = 197.43 : x
  2. Step 2: Convert to fraction form
    296.85/409.83 = 197.43/x
  3. Step 3: Cross multiply
    296.85x = 409.83 × 197.43
  4. Step 4: Simplify right side
    296.85x = 80,910.46
  5. Step 5: Solve for x
    x = 80,910.46/296.85
  6. Step 6: Final answer
    x = 272.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.