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Finding the Fourth Proportional to 293.22, 404.18 and 199.94

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Solution

The fourth proportional to 293.22, 404.18 and 199.94 is: 275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 404.18 = 199.94 : x
  2. Step 2: Convert to fraction form
    293.22/404.18 = 199.94/x
  3. Step 3: Cross multiply
    293.22x = 404.18 × 199.94
  4. Step 4: Simplify right side
    293.22x = 80,811.75
  5. Step 5: Solve for x
    x = 80,811.75/293.22
  6. Step 6: Final answer
    x = 275.60

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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.