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Finding the Fourth Proportional to 293.21, 404.42 and 199.81

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Solution

The fourth proportional to 293.21, 404.42 and 199.81 is: 275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.21 : 404.42 = 199.81 : x
  2. Step 2: Convert to fraction form
    293.21/404.42 = 199.81/x
  3. Step 3: Cross multiply
    293.21x = 404.42 × 199.81
  4. Step 4: Simplify right side
    293.21x = 80,805.15
  5. Step 5: Solve for x
    x = 80,805.15/293.21
  6. Step 6: Final answer
    x = 275.59

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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.