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Finding the Fourth Proportional to 243.31, 335.78 and 143.73

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Solution

The fourth proportional to 243.31, 335.78 and 143.73 is: 198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.31 : 335.78 = 143.73 : x
  2. Step 2: Convert to fraction form
    243.31/335.78 = 143.73/x
  3. Step 3: Cross multiply
    243.31x = 335.78 × 143.73
  4. Step 4: Simplify right side
    243.31x = 48,261.66
  5. Step 5: Solve for x
    x = 48,261.66/243.31
  6. Step 6: Final answer
    x = 198.35

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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.