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Finding the Fourth Proportional to 235.77, 351.62 and 201.75

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Solution

The fourth proportional to 235.77, 351.62 and 201.75 is: 300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.77 : 351.62 = 201.75 : x
  2. Step 2: Convert to fraction form
    235.77/351.62 = 201.75/x
  3. Step 3: Cross multiply
    235.77x = 351.62 × 201.75
  4. Step 4: Simplify right side
    235.77x = 70,938.33
  5. Step 5: Solve for x
    x = 70,938.33/235.77
  6. Step 6: Final answer
    x = 300.88

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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.