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Finding the Fourth Proportional to 339.78, 468.86 and 199.88

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Solution

The fourth proportional to 339.78, 468.86 and 199.88 is: 275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.78 : 468.86 = 199.88 : x
  2. Step 2: Convert to fraction form
    339.78/468.86 = 199.88/x
  3. Step 3: Cross multiply
    339.78x = 468.86 × 199.88
  4. Step 4: Simplify right side
    339.78x = 93,714.15
  5. Step 5: Solve for x
    x = 93,714.15/339.78
  6. Step 6: Final answer
    x = 275.81

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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.