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Finding the Fourth Proportional to 165.93, 229.28 and 163.23

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Solution

The fourth proportional to 165.93, 229.28 and 163.23 is: 225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 229.28 = 163.23 : x
  2. Step 2: Convert to fraction form
    165.93/229.28 = 163.23/x
  3. Step 3: Cross multiply
    165.93x = 229.28 × 163.23
  4. Step 4: Simplify right side
    165.93x = 37,424.56
  5. Step 5: Solve for x
    x = 37,424.56/165.93
  6. Step 6: Final answer
    x = 225.54

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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.