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Finding the Fourth Proportional to 338.71, 467.20 and 297.26

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Solution

The fourth proportional to 338.71, 467.20 and 297.26 is: 410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.71 : 467.20 = 297.26 : x
  2. Step 2: Convert to fraction form
    338.71/467.20 = 297.26/x
  3. Step 3: Cross multiply
    338.71x = 467.20 × 297.26
  4. Step 4: Simplify right side
    338.71x = 138,879.87
  5. Step 5: Solve for x
    x = 138,879.87/338.71
  6. Step 6: Final answer
    x = 410.03

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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.