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Finding the Fourth Proportional to 200.45, 272.90 and 198.65

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Solution

The fourth proportional to 200.45, 272.90 and 198.65 is: 270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.45 : 272.90 = 198.65 : x
  2. Step 2: Convert to fraction form
    200.45/272.90 = 198.65/x
  3. Step 3: Cross multiply
    200.45x = 272.90 × 198.65
  4. Step 4: Simplify right side
    200.45x = 54,211.59
  5. Step 5: Solve for x
    x = 54,211.59/200.45
  6. Step 6: Final answer
    x = 270.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.