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Finding the Fourth Proportional to 339.82, 468.78 and 208.75

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Solution

The fourth proportional to 339.82, 468.78 and 208.75 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.82 : 468.78 = 208.75 : x
  2. Step 2: Convert to fraction form
    339.82/468.78 = 208.75/x
  3. Step 3: Cross multiply
    339.82x = 468.78 × 208.75
  4. Step 4: Simplify right side
    339.82x = 97,857.83
  5. Step 5: Solve for x
    x = 97,857.83/339.82
  6. Step 6: Final answer
    x = 287.97

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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.