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Finding the Fourth Proportional to 312.08, 467.38 and 203.56

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Solution

The fourth proportional to 312.08, 467.38 and 203.56 is: 304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.08 : 467.38 = 203.56 : x
  2. Step 2: Convert to fraction form
    312.08/467.38 = 203.56/x
  3. Step 3: Cross multiply
    312.08x = 467.38 × 203.56
  4. Step 4: Simplify right side
    312.08x = 95,139.87
  5. Step 5: Solve for x
    x = 95,139.87/312.08
  6. Step 6: Final answer
    x = 304.86

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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.