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Finding the Fourth Proportional to 234.41, 350.06 and 200.23

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Solution

The fourth proportional to 234.41, 350.06 and 200.23 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.41 : 350.06 = 200.23 : x
  2. Step 2: Convert to fraction form
    234.41/350.06 = 200.23/x
  3. Step 3: Cross multiply
    234.41x = 350.06 × 200.23
  4. Step 4: Simplify right side
    234.41x = 70,092.51
  5. Step 5: Solve for x
    x = 70,092.51/234.41
  6. Step 6: Final answer
    x = 299.02

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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.