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Finding the Fourth Proportional to 337.14, 464.42 and 243.61

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Solution

The fourth proportional to 337.14, 464.42 and 243.61 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.14 : 464.42 = 243.61 : x
  2. Step 2: Convert to fraction form
    337.14/464.42 = 243.61/x
  3. Step 3: Cross multiply
    337.14x = 464.42 × 243.61
  4. Step 4: Simplify right side
    337.14x = 113,136.80
  5. Step 5: Solve for x
    x = 113,136.80/337.14
  6. Step 6: Final answer
    x = 335.58

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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.