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Finding the Fourth Proportional to 190.74, 262.78 and 161.18

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Solution

The fourth proportional to 190.74, 262.78 and 161.18 is: 222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.74 : 262.78 = 161.18 : x
  2. Step 2: Convert to fraction form
    190.74/262.78 = 161.18/x
  3. Step 3: Cross multiply
    190.74x = 262.78 × 161.18
  4. Step 4: Simplify right side
    190.74x = 42,354.88
  5. Step 5: Solve for x
    x = 42,354.88/190.74
  6. Step 6: Final answer
    x = 222.06

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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.