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Finding the Fourth Proportional to 201.36, 278.19 and 163.02

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Solution

The fourth proportional to 201.36, 278.19 and 163.02 is: 225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 278.19 = 163.02 : x
  2. Step 2: Convert to fraction form
    201.36/278.19 = 163.02/x
  3. Step 3: Cross multiply
    201.36x = 278.19 × 163.02
  4. Step 4: Simplify right side
    201.36x = 45,350.53
  5. Step 5: Solve for x
    x = 45,350.53/201.36
  6. Step 6: Final answer
    x = 225.22

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