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Finding the Fourth Proportional to 335.78, 463.41 and 195.94

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Solution

The fourth proportional to 335.78, 463.41 and 195.94 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 463.41 = 195.94 : x
  2. Step 2: Convert to fraction form
    335.78/463.41 = 195.94/x
  3. Step 3: Cross multiply
    335.78x = 463.41 × 195.94
  4. Step 4: Simplify right side
    335.78x = 90,800.56
  5. Step 5: Solve for x
    x = 90,800.56/335.78
  6. Step 6: Final answer
    x = 270.42

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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.