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Finding the Fourth Proportional to 312.45, 467.96 and 239.73

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Solution

The fourth proportional to 312.45, 467.96 and 239.73 is: 359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 467.96 = 239.73 : x
  2. Step 2: Convert to fraction form
    312.45/467.96 = 239.73/x
  3. Step 3: Cross multiply
    312.45x = 467.96 × 239.73
  4. Step 4: Simplify right side
    312.45x = 112,182.85
  5. Step 5: Solve for x
    x = 112,182.85/312.45
  6. Step 6: Final answer
    x = 359.04

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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.