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Finding the Fourth Proportional to 338.88, 467.43 and 260.21

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Solution

The fourth proportional to 338.88, 467.43 and 260.21 is: 358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 467.43 = 260.21 : x
  2. Step 2: Convert to fraction form
    338.88/467.43 = 260.21/x
  3. Step 3: Cross multiply
    338.88x = 467.43 × 260.21
  4. Step 4: Simplify right side
    338.88x = 121,629.96
  5. Step 5: Solve for x
    x = 121,629.96/338.88
  6. Step 6: Final answer
    x = 358.92

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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.