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Finding the Fourth Proportional to 190.72, 262.40 and 164.80

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Solution

The fourth proportional to 190.72, 262.40 and 164.80 is: 226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.72 : 262.40 = 164.80 : x
  2. Step 2: Convert to fraction form
    190.72/262.40 = 164.80/x
  3. Step 3: Cross multiply
    190.72x = 262.40 × 164.80
  4. Step 4: Simplify right side
    190.72x = 43,243.52
  5. Step 5: Solve for x
    x = 43,243.52/190.72
  6. Step 6: Final answer
    x = 226.74

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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.