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Finding the Fourth Proportional to 239.97, 357.09 and 239.16

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Solution

The fourth proportional to 239.97, 357.09 and 239.16 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.97 : 357.09 = 239.16 : x
  2. Step 2: Convert to fraction form
    239.97/357.09 = 239.16/x
  3. Step 3: Cross multiply
    239.97x = 357.09 × 239.16
  4. Step 4: Simplify right side
    239.97x = 85,401.64
  5. Step 5: Solve for x
    x = 85,401.64/239.97
  6. Step 6: Final answer
    x = 355.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.