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Finding the Fourth Proportional to 239.96, 359.24 and 224.98

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Solution

The fourth proportional to 239.96, 359.24 and 224.98 is: 336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 359.24 = 224.98 : x
  2. Step 2: Convert to fraction form
    239.96/359.24 = 224.98/x
  3. Step 3: Cross multiply
    239.96x = 359.24 × 224.98
  4. Step 4: Simplify right side
    239.96x = 80,819.79
  5. Step 5: Solve for x
    x = 80,819.79/239.96
  6. Step 6: Final answer
    x = 336.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.