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Finding the Fourth Proportional to 190.79, 263.42 and 120.87

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Solution

The fourth proportional to 190.79, 263.42 and 120.87 is: 166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.79 : 263.42 = 120.87 : x
  2. Step 2: Convert to fraction form
    190.79/263.42 = 120.87/x
  3. Step 3: Cross multiply
    190.79x = 263.42 × 120.87
  4. Step 4: Simplify right side
    190.79x = 31,838.97
  5. Step 5: Solve for x
    x = 31,838.97/190.79
  6. Step 6: Final answer
    x = 166.88

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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.