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Finding the Fourth Proportional to 190.89, 287.35 and 130.39

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Solution

The fourth proportional to 190.89, 287.35 and 130.39 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 287.35 = 130.39 : x
  2. Step 2: Convert to fraction form
    190.89/287.35 = 130.39/x
  3. Step 3: Cross multiply
    190.89x = 287.35 × 130.39
  4. Step 4: Simplify right side
    190.89x = 37,466.52
  5. Step 5: Solve for x
    x = 37,466.52/190.89
  6. Step 6: Final answer
    x = 196.27

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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.