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Finding the Fourth Proportional to 335.92, 463.47 and 196

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Solution

The fourth proportional to 335.92, 463.47 and 196 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.92 : 463.47 = 196 : x
  2. Step 2: Convert to fraction form
    335.92/463.47 = 196/x
  3. Step 3: Cross multiply
    335.92x = 463.47 × 196
  4. Step 4: Simplify right side
    335.92x = 90,840.12
  5. Step 5: Solve for x
    x = 90,840.12/335.92
  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.