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Finding the Fourth Proportional to 190.77, 286.29 and 129.96

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Solution

The fourth proportional to 190.77, 286.29 and 129.96 is: 195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.77 : 286.29 = 129.96 : x
  2. Step 2: Convert to fraction form
    190.77/286.29 = 129.96/x
  3. Step 3: Cross multiply
    190.77x = 286.29 × 129.96
  4. Step 4: Simplify right side
    190.77x = 37,206.25
  5. Step 5: Solve for x
    x = 37,206.25/190.77
  6. Step 6: Final answer
    x = 195.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.