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Finding the Fourth Proportional to 338.11, 467.33 and 298.49

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Solution

The fourth proportional to 338.11, 467.33 and 298.49 is: 412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.11 : 467.33 = 298.49 : x
  2. Step 2: Convert to fraction form
    338.11/467.33 = 298.49/x
  3. Step 3: Cross multiply
    338.11x = 467.33 × 298.49
  4. Step 4: Simplify right side
    338.11x = 139,493.33
  5. Step 5: Solve for x
    x = 139,493.33/338.11
  6. Step 6: Final answer
    x = 412.57

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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.