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Finding the Fourth Proportional to 339.91, 468.56 and 208.69

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Solution

The fourth proportional to 339.91, 468.56 and 208.69 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.91 : 468.56 = 208.69 : x
  2. Step 2: Convert to fraction form
    339.91/468.56 = 208.69/x
  3. Step 3: Cross multiply
    339.91x = 468.56 × 208.69
  4. Step 4: Simplify right side
    339.91x = 97,783.14
  5. Step 5: Solve for x
    x = 97,783.14/339.91
  6. Step 6: Final answer
    x = 287.68

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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.