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Finding the Fourth Proportional to 234.78, 350.19 and 201.90

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Solution

The fourth proportional to 234.78, 350.19 and 201.90 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.78 : 350.19 = 201.90 : x
  2. Step 2: Convert to fraction form
    234.78/350.19 = 201.90/x
  3. Step 3: Cross multiply
    234.78x = 350.19 × 201.90
  4. Step 4: Simplify right side
    234.78x = 70,703.36
  5. Step 5: Solve for x
    x = 70,703.36/234.78
  6. Step 6: Final answer
    x = 301.15

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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.