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Finding the Fourth Proportional to 200.20, 299.94 and 180.10

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Solution

The fourth proportional to 200.20, 299.94 and 180.10 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 299.94 = 180.10 : x
  2. Step 2: Convert to fraction form
    200.20/299.94 = 180.10/x
  3. Step 3: Cross multiply
    200.20x = 299.94 × 180.10
  4. Step 4: Simplify right side
    200.20x = 54,019.19
  5. Step 5: Solve for x
    x = 54,019.19/200.20
  6. Step 6: Final answer
    x = 269.83

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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.