Home / 165.24-226.83-142.20

Finding the Fourth Proportional to 165.24, 226.83 and 142.20

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Solution

The fourth proportional to 165.24, 226.83 and 142.20 is: 195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 226.83 = 142.20 : x
  2. Step 2: Convert to fraction form
    165.24/226.83 = 142.20/x
  3. Step 3: Cross multiply
    165.24x = 226.83 × 142.20
  4. Step 4: Simplify right side
    165.24x = 32,255.23
  5. Step 5: Solve for x
    x = 32,255.23/165.24
  6. Step 6: Final answer
    x = 195.20

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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.