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Finding the Fourth Proportional to 165.03, 227.44 and 157.33

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Solution

The fourth proportional to 165.03, 227.44 and 157.33 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 227.44 = 157.33 : x
  2. Step 2: Convert to fraction form
    165.03/227.44 = 157.33/x
  3. Step 3: Cross multiply
    165.03x = 227.44 × 157.33
  4. Step 4: Simplify right side
    165.03x = 35,783.14
  5. Step 5: Solve for x
    x = 35,783.14/165.03
  6. Step 6: Final answer
    x = 216.83

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Why These Related Problems?

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