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Finding the Fourth Proportional to 190.29, 262.49 and 120.30

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Solution

The fourth proportional to 190.29, 262.49 and 120.30 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.29 : 262.49 = 120.30 : x
  2. Step 2: Convert to fraction form
    190.29/262.49 = 120.30/x
  3. Step 3: Cross multiply
    190.29x = 262.49 × 120.30
  4. Step 4: Simplify right side
    190.29x = 31,575.96
  5. Step 5: Solve for x
    x = 31,575.96/190.29
  6. Step 6: Final answer
    x = 165.93

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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.