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Finding the Fourth Proportional to 297.09, 410.07 and 197.52

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Solution

The fourth proportional to 297.09, 410.07 and 197.52 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 410.07 = 197.52 : x
  2. Step 2: Convert to fraction form
    297.09/410.07 = 197.52/x
  3. Step 3: Cross multiply
    297.09x = 410.07 × 197.52
  4. Step 4: Simplify right side
    297.09x = 80,997.03
  5. Step 5: Solve for x
    x = 80,997.03/297.09
  6. Step 6: Final answer
    x = 272.63

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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.