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Finding the Fourth Proportional to 239.96, 357.97 and 219.31

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Solution

The fourth proportional to 239.96, 357.97 and 219.31 is: 327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 357.97 = 219.31 : x
  2. Step 2: Convert to fraction form
    239.96/357.97 = 219.31/x
  3. Step 3: Cross multiply
    239.96x = 357.97 × 219.31
  4. Step 4: Simplify right side
    239.96x = 78,505.37
  5. Step 5: Solve for x
    x = 78,505.37/239.96
  6. Step 6: Final answer
    x = 327.16

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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.