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Finding the Fourth Proportional to 165.08, 226.54 and 150.44

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Solution

The fourth proportional to 165.08, 226.54 and 150.44 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 226.54 = 150.44 : x
  2. Step 2: Convert to fraction form
    165.08/226.54 = 150.44/x
  3. Step 3: Cross multiply
    165.08x = 226.54 × 150.44
  4. Step 4: Simplify right side
    165.08x = 34,080.68
  5. Step 5: Solve for x
    x = 34,080.68/165.08
  6. Step 6: Final answer
    x = 206.45

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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.