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Finding the Fourth Proportional to 243.05, 362.15 and 231.28

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Solution

The fourth proportional to 243.05, 362.15 and 231.28 is: 344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.05 : 362.15 = 231.28 : x
  2. Step 2: Convert to fraction form
    243.05/362.15 = 231.28/x
  3. Step 3: Cross multiply
    243.05x = 362.15 × 231.28
  4. Step 4: Simplify right side
    243.05x = 83,757.72
  5. Step 5: Solve for x
    x = 83,757.72/243.05
  6. Step 6: Final answer
    x = 344.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.