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Finding the Fourth Proportional to 190.89, 287.38 and 130.41

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Solution

The fourth proportional to 190.89, 287.38 and 130.41 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 287.38 = 130.41 : x
  2. Step 2: Convert to fraction form
    190.89/287.38 = 130.41/x
  3. Step 3: Cross multiply
    190.89x = 287.38 × 130.41
  4. Step 4: Simplify right side
    190.89x = 37,477.23
  5. Step 5: Solve for x
    x = 37,477.23/190.89
  6. Step 6: Final answer
    x = 196.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.