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Finding the Fourth Proportional to 239.75, 361.48 and 192.23

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Solution

The fourth proportional to 239.75, 361.48 and 192.23 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.75 : 361.48 = 192.23 : x
  2. Step 2: Convert to fraction form
    239.75/361.48 = 192.23/x
  3. Step 3: Cross multiply
    239.75x = 361.48 × 192.23
  4. Step 4: Simplify right side
    239.75x = 69,487.30
  5. Step 5: Solve for x
    x = 69,487.30/239.75
  6. Step 6: Final answer
    x = 289.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.