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Finding the Fourth Proportional to 286.18, 394.74 and 198.84

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Solution

The fourth proportional to 286.18, 394.74 and 198.84 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.18 : 394.74 = 198.84 : x
  2. Step 2: Convert to fraction form
    286.18/394.74 = 198.84/x
  3. Step 3: Cross multiply
    286.18x = 394.74 × 198.84
  4. Step 4: Simplify right side
    286.18x = 78,490.10
  5. Step 5: Solve for x
    x = 78,490.10/286.18
  6. Step 6: Final answer
    x = 274.27

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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.