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Finding the Fourth Proportional to 239.89, 331.12 and 162.31

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Solution

The fourth proportional to 239.89, 331.12 and 162.31 is: 224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.89 : 331.12 = 162.31 : x
  2. Step 2: Convert to fraction form
    239.89/331.12 = 162.31/x
  3. Step 3: Cross multiply
    239.89x = 331.12 × 162.31
  4. Step 4: Simplify right side
    239.89x = 53,742.43
  5. Step 5: Solve for x
    x = 53,742.43/239.89
  6. Step 6: Final answer
    x = 224.03

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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.