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Finding the Fourth Proportional to 190.18, 262.55 and 120.34

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Solution

The fourth proportional to 190.18, 262.55 and 120.34 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.18 : 262.55 = 120.34 : x
  2. Step 2: Convert to fraction form
    190.18/262.55 = 120.34/x
  3. Step 3: Cross multiply
    190.18x = 262.55 × 120.34
  4. Step 4: Simplify right side
    190.18x = 31,593.35
  5. Step 5: Solve for x
    x = 31,593.35/190.18
  6. Step 6: Final answer
    x = 166.13

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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.