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Finding the Fourth Proportional to 239.26, 329.85 and 186.64

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Solution

The fourth proportional to 239.26, 329.85 and 186.64 is: 257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.26 : 329.85 = 186.64 : x
  2. Step 2: Convert to fraction form
    239.26/329.85 = 186.64/x
  3. Step 3: Cross multiply
    239.26x = 329.85 × 186.64
  4. Step 4: Simplify right side
    239.26x = 61,563.20
  5. Step 5: Solve for x
    x = 61,563.20/239.26
  6. Step 6: Final answer
    x = 257.31

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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.