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Finding the Fourth Proportional to 335.89, 463.41 and 195.96

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Solution

The fourth proportional to 335.89, 463.41 and 195.96 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.89 : 463.41 = 195.96 : x
  2. Step 2: Convert to fraction form
    335.89/463.41 = 195.96/x
  3. Step 3: Cross multiply
    335.89x = 463.41 × 195.96
  4. Step 4: Simplify right side
    335.89x = 90,809.82
  5. Step 5: Solve for x
    x = 90,809.82/335.89
  6. Step 6: Final answer
    x = 270.36

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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.