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Finding the Fourth Proportional to 239.15, 359.31 and 196.49

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Solution

The fourth proportional to 239.15, 359.31 and 196.49 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.15 : 359.31 = 196.49 : x
  2. Step 2: Convert to fraction form
    239.15/359.31 = 196.49/x
  3. Step 3: Cross multiply
    239.15x = 359.31 × 196.49
  4. Step 4: Simplify right side
    239.15x = 70,599.03
  5. Step 5: Solve for x
    x = 70,599.03/239.15
  6. Step 6: Final answer
    x = 295.21

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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.