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Finding the Fourth Proportional to 338.94, 467.86 and 234.56

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Solution

The fourth proportional to 338.94, 467.86 and 234.56 is: 323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.94 : 467.86 = 234.56 : x
  2. Step 2: Convert to fraction form
    338.94/467.86 = 234.56/x
  3. Step 3: Cross multiply
    338.94x = 467.86 × 234.56
  4. Step 4: Simplify right side
    338.94x = 109,741.24
  5. Step 5: Solve for x
    x = 109,741.24/338.94
  6. Step 6: Final answer
    x = 323.78

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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.