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Finding the Fourth Proportional to 293.09, 404.49 and 199.83

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Solution

The fourth proportional to 293.09, 404.49 and 199.83 is: 275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.09 : 404.49 = 199.83 : x
  2. Step 2: Convert to fraction form
    293.09/404.49 = 199.83/x
  3. Step 3: Cross multiply
    293.09x = 404.49 × 199.83
  4. Step 4: Simplify right side
    293.09x = 80,831.50
  5. Step 5: Solve for x
    x = 80,831.50/293.09
  6. Step 6: Final answer
    x = 275.80

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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.