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Finding the Fourth Proportional to 286.28, 394.71 and 198.98

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Solution

The fourth proportional to 286.28, 394.71 and 198.98 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.28 : 394.71 = 198.98 : x
  2. Step 2: Convert to fraction form
    286.28/394.71 = 198.98/x
  3. Step 3: Cross multiply
    286.28x = 394.71 × 198.98
  4. Step 4: Simplify right side
    286.28x = 78,539.40
  5. Step 5: Solve for x
    x = 78,539.40/286.28
  6. Step 6: Final answer
    x = 274.34

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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.