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Finding the Fourth Proportional to 301.41, 416.01 and 201.97

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Solution

The fourth proportional to 301.41, 416.01 and 201.97 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.41 : 416.01 = 201.97 : x
  2. Step 2: Convert to fraction form
    301.41/416.01 = 201.97/x
  3. Step 3: Cross multiply
    301.41x = 416.01 × 201.97
  4. Step 4: Simplify right side
    301.41x = 84,022.82
  5. Step 5: Solve for x
    x = 84,022.82/301.41
  6. Step 6: Final answer
    x = 278.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.