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Finding the Fourth Proportional to 190.21, 262.54 and 111.54

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Solution

The fourth proportional to 190.21, 262.54 and 111.54 is: 153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.21 : 262.54 = 111.54 : x
  2. Step 2: Convert to fraction form
    190.21/262.54 = 111.54/x
  3. Step 3: Cross multiply
    190.21x = 262.54 × 111.54
  4. Step 4: Simplify right side
    190.21x = 29,283.06
  5. Step 5: Solve for x
    x = 29,283.06/190.21
  6. Step 6: Final answer
    x = 153.95

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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.