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Finding the Fourth Proportional to 239.32, 327.43 and 238.42

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Solution

The fourth proportional to 239.32, 327.43 and 238.42 is: 326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.32 : 327.43 = 238.42 : x
  2. Step 2: Convert to fraction form
    239.32/327.43 = 238.42/x
  3. Step 3: Cross multiply
    239.32x = 327.43 × 238.42
  4. Step 4: Simplify right side
    239.32x = 78,064.22
  5. Step 5: Solve for x
    x = 78,064.22/239.32
  6. Step 6: Final answer
    x = 326.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.