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Finding the Fourth Proportional to 190.80, 262.44 and 161.28

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Solution

The fourth proportional to 190.80, 262.44 and 161.28 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.80 : 262.44 = 161.28 : x
  2. Step 2: Convert to fraction form
    190.80/262.44 = 161.28/x
  3. Step 3: Cross multiply
    190.80x = 262.44 × 161.28
  4. Step 4: Simplify right side
    190.80x = 42,326.32
  5. Step 5: Solve for x
    x = 42,326.32/190.80
  6. Step 6: Final answer
    x = 221.84

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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.