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Finding the Fourth Proportional to 286.02, 395.15 and 198.95

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Solution

The fourth proportional to 286.02, 395.15 and 198.95 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 395.15 = 198.95 : x
  2. Step 2: Convert to fraction form
    286.02/395.15 = 198.95/x
  3. Step 3: Cross multiply
    286.02x = 395.15 × 198.95
  4. Step 4: Simplify right side
    286.02x = 78,612.12
  5. Step 5: Solve for x
    x = 78,612.12/286.02
  6. Step 6: Final answer
    x = 274.85

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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.