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Finding the Fourth Proportional to 297.09, 410.01 and 198.81

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Solution

The fourth proportional to 297.09, 410.01 and 198.81 is: 274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 410.01 = 198.81 : x
  2. Step 2: Convert to fraction form
    297.09/410.01 = 198.81/x
  3. Step 3: Cross multiply
    297.09x = 410.01 × 198.81
  4. Step 4: Simplify right side
    297.09x = 81,514.09
  5. Step 5: Solve for x
    x = 81,514.09/297.09
  6. Step 6: Final answer
    x = 274.38

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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.