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Finding the Fourth Proportional to 165.34, 229.61 and 163.74

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Solution

The fourth proportional to 165.34, 229.61 and 163.74 is: 227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.34 : 229.61 = 163.74 : x
  2. Step 2: Convert to fraction form
    165.34/229.61 = 163.74/x
  3. Step 3: Cross multiply
    165.34x = 229.61 × 163.74
  4. Step 4: Simplify right side
    165.34x = 37,595.52
  5. Step 5: Solve for x
    x = 37,595.52/165.34
  6. Step 6: Final answer
    x = 227.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.