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Finding the Fourth Proportional to 200.12, 297.90 and 198.90

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Solution

The fourth proportional to 200.12, 297.90 and 198.90 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.12 : 297.90 = 198.90 : x
  2. Step 2: Convert to fraction form
    200.12/297.90 = 198.90/x
  3. Step 3: Cross multiply
    200.12x = 297.90 × 198.90
  4. Step 4: Simplify right side
    200.12x = 59,252.31
  5. Step 5: Solve for x
    x = 59,252.31/200.12
  6. Step 6: Final answer
    x = 296.09

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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.