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Finding the Fourth Proportional to 338.96, 467.92 and 222.56

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Solution

The fourth proportional to 338.96, 467.92 and 222.56 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 467.92 = 222.56 : x
  2. Step 2: Convert to fraction form
    338.96/467.92 = 222.56/x
  3. Step 3: Cross multiply
    338.96x = 467.92 × 222.56
  4. Step 4: Simplify right side
    338.96x = 104,140.28
  5. Step 5: Solve for x
    x = 104,140.28/338.96
  6. Step 6: Final answer
    x = 307.23

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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.