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Finding the Fourth Proportional to 231.97, 347.32 and 188.54

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Solution

The fourth proportional to 231.97, 347.32 and 188.54 is: 282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.97 : 347.32 = 188.54 : x
  2. Step 2: Convert to fraction form
    231.97/347.32 = 188.54/x
  3. Step 3: Cross multiply
    231.97x = 347.32 × 188.54
  4. Step 4: Simplify right side
    231.97x = 65,481.03
  5. Step 5: Solve for x
    x = 65,481.03/231.97
  6. Step 6: Final answer
    x = 282.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.