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Finding the Fourth Proportional to 293.20, 404.35 and 198.51

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Solution

The fourth proportional to 293.20, 404.35 and 198.51 is: 273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.20 : 404.35 = 198.51 : x
  2. Step 2: Convert to fraction form
    293.20/404.35 = 198.51/x
  3. Step 3: Cross multiply
    293.20x = 404.35 × 198.51
  4. Step 4: Simplify right side
    293.20x = 80,267.52
  5. Step 5: Solve for x
    x = 80,267.52/293.20
  6. Step 6: Final answer
    x = 273.76

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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.