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Finding the Fourth Proportional to 201.36, 278.26 and 164.51

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Solution

The fourth proportional to 201.36, 278.26 and 164.51 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 278.26 = 164.51 : x
  2. Step 2: Convert to fraction form
    201.36/278.26 = 164.51/x
  3. Step 3: Cross multiply
    201.36x = 278.26 × 164.51
  4. Step 4: Simplify right side
    201.36x = 45,776.55
  5. Step 5: Solve for x
    x = 45,776.55/201.36
  6. Step 6: Final answer
    x = 227.34

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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.