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Finding the Fourth Proportional to 200.70, 299.34 and 197.82

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Solution

The fourth proportional to 200.70, 299.34 and 197.82 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.70 : 299.34 = 197.82 : x
  2. Step 2: Convert to fraction form
    200.70/299.34 = 197.82/x
  3. Step 3: Cross multiply
    200.70x = 299.34 × 197.82
  4. Step 4: Simplify right side
    200.70x = 59,215.44
  5. Step 5: Solve for x
    x = 59,215.44/200.70
  6. Step 6: Final answer
    x = 295.04

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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.