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Finding the Fourth Proportional to 293.04, 404.34 and 199.96

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Solution

The fourth proportional to 293.04, 404.34 and 199.96 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 404.34 = 199.96 : x
  2. Step 2: Convert to fraction form
    293.04/404.34 = 199.96/x
  3. Step 3: Cross multiply
    293.04x = 404.34 × 199.96
  4. Step 4: Simplify right side
    293.04x = 80,851.83
  5. Step 5: Solve for x
    x = 80,851.83/293.04
  6. Step 6: Final answer
    x = 275.91

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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.