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Finding the Fourth Proportional to 190.98, 263.27 and 164.64

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Solution

The fourth proportional to 190.98, 263.27 and 164.64 is: 226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.98 : 263.27 = 164.64 : x
  2. Step 2: Convert to fraction form
    190.98/263.27 = 164.64/x
  3. Step 3: Cross multiply
    190.98x = 263.27 × 164.64
  4. Step 4: Simplify right side
    190.98x = 43,344.77
  5. Step 5: Solve for x
    x = 43,344.77/190.98
  6. Step 6: Final answer
    x = 226.96

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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.