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Finding the Fourth Proportional to 165.50, 227.98 and 138.03

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Solution

The fourth proportional to 165.50, 227.98 and 138.03 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.50 : 227.98 = 138.03 : x
  2. Step 2: Convert to fraction form
    165.50/227.98 = 138.03/x
  3. Step 3: Cross multiply
    165.50x = 227.98 × 138.03
  4. Step 4: Simplify right side
    165.50x = 31,468.08
  5. Step 5: Solve for x
    x = 31,468.08/165.50
  6. Step 6: Final answer
    x = 190.14

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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.