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Finding the Fourth Proportional to 200.10, 299.84 and 118.85

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Solution

The fourth proportional to 200.10, 299.84 and 118.85 is: 178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.10 : 299.84 = 118.85 : x
  2. Step 2: Convert to fraction form
    200.10/299.84 = 118.85/x
  3. Step 3: Cross multiply
    200.10x = 299.84 × 118.85
  4. Step 4: Simplify right side
    200.10x = 35,635.98
  5. Step 5: Solve for x
    x = 35,635.98/200.10
  6. Step 6: Final answer
    x = 178.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.