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Finding the Fourth Proportional to 335.61, 463.13 and 193.82

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Solution

The fourth proportional to 335.61, 463.13 and 193.82 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.61 : 463.13 = 193.82 : x
  2. Step 2: Convert to fraction form
    335.61/463.13 = 193.82/x
  3. Step 3: Cross multiply
    335.61x = 463.13 × 193.82
  4. Step 4: Simplify right side
    335.61x = 89,761.30
  5. Step 5: Solve for x
    x = 89,761.30/335.61
  6. Step 6: Final answer
    x = 267.46

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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.