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Finding the Fourth Proportional to 354.25, 488.91 and 199

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Solution

The fourth proportional to 354.25, 488.91 and 199 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.25 : 488.91 = 199 : x
  2. Step 2: Convert to fraction form
    354.25/488.91 = 199/x
  3. Step 3: Cross multiply
    354.25x = 488.91 × 199
  4. Step 4: Simplify right side
    354.25x = 97,293.09
  5. Step 5: Solve for x
    x = 97,293.09/354.25
  6. Step 6: Final answer
    x = 274.65

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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.