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Finding the Fourth Proportional to 286.40, 395.19 and 198.07

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Solution

The fourth proportional to 286.40, 395.19 and 198.07 is: 273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 395.19 = 198.07 : x
  2. Step 2: Convert to fraction form
    286.40/395.19 = 198.07/x
  3. Step 3: Cross multiply
    286.40x = 395.19 × 198.07
  4. Step 4: Simplify right side
    286.40x = 78,274.30
  5. Step 5: Solve for x
    x = 78,274.30/286.40
  6. Step 6: Final answer
    x = 273.30

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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.