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Finding the Fourth Proportional to 190.88, 263.36 and 166.28

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Solution

The fourth proportional to 190.88, 263.36 and 166.28 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.88 : 263.36 = 166.28 : x
  2. Step 2: Convert to fraction form
    190.88/263.36 = 166.28/x
  3. Step 3: Cross multiply
    190.88x = 263.36 × 166.28
  4. Step 4: Simplify right side
    190.88x = 43,791.50
  5. Step 5: Solve for x
    x = 43,791.50/190.88
  6. Step 6: Final answer
    x = 229.42

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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.