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Finding the Fourth Proportional to 239.06, 356.12 and 224.12

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Solution

The fourth proportional to 239.06, 356.12 and 224.12 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.06 : 356.12 = 224.12 : x
  2. Step 2: Convert to fraction form
    239.06/356.12 = 224.12/x
  3. Step 3: Cross multiply
    239.06x = 356.12 × 224.12
  4. Step 4: Simplify right side
    239.06x = 79,810.71
  5. Step 5: Solve for x
    x = 79,810.71/239.06
  6. Step 6: Final answer
    x = 333.86

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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.