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Finding the Fourth Proportional to 338.29, 467.09 and 273.08

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Solution

The fourth proportional to 338.29, 467.09 and 273.08 is: 377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.29 : 467.09 = 273.08 : x
  2. Step 2: Convert to fraction form
    338.29/467.09 = 273.08/x
  3. Step 3: Cross multiply
    338.29x = 467.09 × 273.08
  4. Step 4: Simplify right side
    338.29x = 127,552.94
  5. Step 5: Solve for x
    x = 127,552.94/338.29
  6. Step 6: Final answer
    x = 377.05

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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.