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Finding the Fourth Proportional to 164.90, 227.46 and 135.41

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Solution

The fourth proportional to 164.90, 227.46 and 135.41 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.90 : 227.46 = 135.41 : x
  2. Step 2: Convert to fraction form
    164.90/227.46 = 135.41/x
  3. Step 3: Cross multiply
    164.90x = 227.46 × 135.41
  4. Step 4: Simplify right side
    164.90x = 30,800.36
  5. Step 5: Solve for x
    x = 30,800.36/164.90
  6. Step 6: Final answer
    x = 186.78

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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.