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Finding the Fourth Proportional to 335.56, 463.13 and 195.68

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Solution

The fourth proportional to 335.56, 463.13 and 195.68 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.56 : 463.13 = 195.68 : x
  2. Step 2: Convert to fraction form
    335.56/463.13 = 195.68/x
  3. Step 3: Cross multiply
    335.56x = 463.13 × 195.68
  4. Step 4: Simplify right side
    335.56x = 90,625.28
  5. Step 5: Solve for x
    x = 90,625.28/335.56
  6. Step 6: Final answer
    x = 270.07

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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.