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Finding the Fourth Proportional to 339.05, 467.78 and 208.04

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Solution

The fourth proportional to 339.05, 467.78 and 208.04 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.05 : 467.78 = 208.04 : x
  2. Step 2: Convert to fraction form
    339.05/467.78 = 208.04/x
  3. Step 3: Cross multiply
    339.05x = 467.78 × 208.04
  4. Step 4: Simplify right side
    339.05x = 97,313.57
  5. Step 5: Solve for x
    x = 97,313.57/339.05
  6. Step 6: Final answer
    x = 287.02

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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.