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Finding the Fourth Proportional to 165.09, 226.60 and 147.22

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Solution

The fourth proportional to 165.09, 226.60 and 147.22 is: 202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 226.60 = 147.22 : x
  2. Step 2: Convert to fraction form
    165.09/226.60 = 147.22/x
  3. Step 3: Cross multiply
    165.09x = 226.60 × 147.22
  4. Step 4: Simplify right side
    165.09x = 33,359.12
  5. Step 5: Solve for x
    x = 33,359.12/165.09
  6. Step 6: Final answer
    x = 202.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.