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Finding the Fourth Proportional to 164.92, 226.54 and 133.70

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Solution

The fourth proportional to 164.92, 226.54 and 133.70 is: 183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.92 : 226.54 = 133.70 : x
  2. Step 2: Convert to fraction form
    164.92/226.54 = 133.70/x
  3. Step 3: Cross multiply
    164.92x = 226.54 × 133.70
  4. Step 4: Simplify right side
    164.92x = 30,288.40
  5. Step 5: Solve for x
    x = 30,288.40/164.92
  6. Step 6: Final answer
    x = 183.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.