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Finding the Fourth Proportional to 239.74, 329.24 and 222.82

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Solution

The fourth proportional to 239.74, 329.24 and 222.82 is: 306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.74 : 329.24 = 222.82 : x
  2. Step 2: Convert to fraction form
    239.74/329.24 = 222.82/x
  3. Step 3: Cross multiply
    239.74x = 329.24 × 222.82
  4. Step 4: Simplify right side
    239.74x = 73,361.26
  5. Step 5: Solve for x
    x = 73,361.26/239.74
  6. Step 6: Final answer
    x = 306.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.