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Finding the Fourth Proportional to 192.00, 287.38 and 130.82

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Solution

The fourth proportional to 192.00, 287.38 and 130.82 is: 195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.00 : 287.38 = 130.82 : x
  2. Step 2: Convert to fraction form
    192.00/287.38 = 130.82/x
  3. Step 3: Cross multiply
    192.00x = 287.38 × 130.82
  4. Step 4: Simplify right side
    192.00x = 37,593.78
  5. Step 5: Solve for x
    x = 37,593.78/192.00
  6. Step 6: Final answer
    x = 195.80

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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.