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Finding the Fourth Proportional to 240.31, 362.63 and 231.73

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Solution

The fourth proportional to 240.31, 362.63 and 231.73 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.31 : 362.63 = 231.73 : x
  2. Step 2: Convert to fraction form
    240.31/362.63 = 231.73/x
  3. Step 3: Cross multiply
    240.31x = 362.63 × 231.73
  4. Step 4: Simplify right side
    240.31x = 84,032.25
  5. Step 5: Solve for x
    x = 84,032.25/240.31
  6. Step 6: Final answer
    x = 349.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.