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Finding the Fourth Proportional to 234.10, 350.02 and 200.26

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Solution

The fourth proportional to 234.10, 350.02 and 200.26 is: 299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.10 : 350.02 = 200.26 : x
  2. Step 2: Convert to fraction form
    234.10/350.02 = 200.26/x
  3. Step 3: Cross multiply
    234.10x = 350.02 × 200.26
  4. Step 4: Simplify right side
    234.10x = 70,095.01
  5. Step 5: Solve for x
    x = 70,095.01/234.10
  6. Step 6: Final answer
    x = 299.42

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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.