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Finding the Fourth Proportional to 239.16, 329.73 and 231.60

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Solution

The fourth proportional to 239.16, 329.73 and 231.60 is: 319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.16 : 329.73 = 231.60 : x
  2. Step 2: Convert to fraction form
    239.16/329.73 = 231.60/x
  3. Step 3: Cross multiply
    239.16x = 329.73 × 231.60
  4. Step 4: Simplify right side
    239.16x = 76,365.47
  5. Step 5: Solve for x
    x = 76,365.47/239.16
  6. Step 6: Final answer
    x = 319.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.