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Finding the Fourth Proportional to 293.74, 404.97 and 195.46

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Solution

The fourth proportional to 293.74, 404.97 and 195.46 is: 269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.74 : 404.97 = 195.46 : x
  2. Step 2: Convert to fraction form
    293.74/404.97 = 195.46/x
  3. Step 3: Cross multiply
    293.74x = 404.97 × 195.46
  4. Step 4: Simplify right side
    293.74x = 79,155.44
  5. Step 5: Solve for x
    x = 79,155.44/293.74
  6. Step 6: Final answer
    x = 269.47

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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.