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Finding the Fourth Proportional to 200.14, 297.88 and 198.22

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Solution

The fourth proportional to 200.14, 297.88 and 198.22 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.14 : 297.88 = 198.22 : x
  2. Step 2: Convert to fraction form
    200.14/297.88 = 198.22/x
  3. Step 3: Cross multiply
    200.14x = 297.88 × 198.22
  4. Step 4: Simplify right side
    200.14x = 59,043.70
  5. Step 5: Solve for x
    x = 59,043.70/200.14
  6. Step 6: Final answer
    x = 295.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.