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Finding the Fourth Proportional to 243.23, 362.39 and 231.62

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Solution

The fourth proportional to 243.23, 362.39 and 231.62 is: 345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.23 : 362.39 = 231.62 : x
  2. Step 2: Convert to fraction form
    243.23/362.39 = 231.62/x
  3. Step 3: Cross multiply
    243.23x = 362.39 × 231.62
  4. Step 4: Simplify right side
    243.23x = 83,935.16
  5. Step 5: Solve for x
    x = 83,935.16/243.23
  6. Step 6: Final answer
    x = 345.09

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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.