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Finding the Fourth Proportional to 338.88, 467.28 and 268.14

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Solution

The fourth proportional to 338.88, 467.28 and 268.14 is: 369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 467.28 = 268.14 : x
  2. Step 2: Convert to fraction form
    338.88/467.28 = 268.14/x
  3. Step 3: Cross multiply
    338.88x = 467.28 × 268.14
  4. Step 4: Simplify right side
    338.88x = 125,297.34
  5. Step 5: Solve for x
    x = 125,297.34/338.88
  6. Step 6: Final answer
    x = 369.74

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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.