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Finding the Fourth Proportional to 338.22, 467.91 and 279.90

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Solution

The fourth proportional to 338.22, 467.91 and 279.90 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.22 : 467.91 = 279.90 : x
  2. Step 2: Convert to fraction form
    338.22/467.91 = 279.90/x
  3. Step 3: Cross multiply
    338.22x = 467.91 × 279.90
  4. Step 4: Simplify right side
    338.22x = 130,968.01
  5. Step 5: Solve for x
    x = 130,968.01/338.22
  6. Step 6: Final answer
    x = 387.23

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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.