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Finding the Fourth Proportional to 286.19, 395.10 and 198.98

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Solution

The fourth proportional to 286.19, 395.10 and 198.98 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.19 : 395.10 = 198.98 : x
  2. Step 2: Convert to fraction form
    286.19/395.10 = 198.98/x
  3. Step 3: Cross multiply
    286.19x = 395.10 × 198.98
  4. Step 4: Simplify right side
    286.19x = 78,615.02
  5. Step 5: Solve for x
    x = 78,615.02/286.19
  6. Step 6: Final answer
    x = 274.70

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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.