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Finding the Fourth Proportional to 338.94, 467.84 and 220.92

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Solution

The fourth proportional to 338.94, 467.84 and 220.92 is: 304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.94 : 467.84 = 220.92 : x
  2. Step 2: Convert to fraction form
    338.94/467.84 = 220.92/x
  3. Step 3: Cross multiply
    338.94x = 467.84 × 220.92
  4. Step 4: Simplify right side
    338.94x = 103,355.21
  5. Step 5: Solve for x
    x = 103,355.21/338.94
  6. Step 6: Final answer
    x = 304.94

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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.