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Finding the Fourth Proportional to 239.12, 330.12 and 224.48

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Solution

The fourth proportional to 239.12, 330.12 and 224.48 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.12 : 330.12 = 224.48 : x
  2. Step 2: Convert to fraction form
    239.12/330.12 = 224.48/x
  3. Step 3: Cross multiply
    239.12x = 330.12 × 224.48
  4. Step 4: Simplify right side
    239.12x = 74,105.34
  5. Step 5: Solve for x
    x = 74,105.34/239.12
  6. Step 6: Final answer
    x = 309.91

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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.