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Finding the Fourth Proportional to 190.32, 262.80 and 120.48

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Solution

The fourth proportional to 190.32, 262.80 and 120.48 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 262.80 = 120.48 : x
  2. Step 2: Convert to fraction form
    190.32/262.80 = 120.48/x
  3. Step 3: Cross multiply
    190.32x = 262.80 × 120.48
  4. Step 4: Simplify right side
    190.32x = 31,662.14
  5. Step 5: Solve for x
    x = 31,662.14/190.32
  6. Step 6: Final answer
    x = 166.36

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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.