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Finding the Fourth Proportional to 165.40, 227.88 and 137.62

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Solution

The fourth proportional to 165.40, 227.88 and 137.62 is: 189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 227.88 = 137.62 : x
  2. Step 2: Convert to fraction form
    165.40/227.88 = 137.62/x
  3. Step 3: Cross multiply
    165.40x = 227.88 × 137.62
  4. Step 4: Simplify right side
    165.40x = 31,360.85
  5. Step 5: Solve for x
    x = 31,360.85/165.40
  6. Step 6: Final answer
    x = 189.61

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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.