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Finding the Fourth Proportional to 192.03, 287.29 and 180.69

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Solution

The fourth proportional to 192.03, 287.29 and 180.69 is: 270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.03 : 287.29 = 180.69 : x
  2. Step 2: Convert to fraction form
    192.03/287.29 = 180.69/x
  3. Step 3: Cross multiply
    192.03x = 287.29 × 180.69
  4. Step 4: Simplify right side
    192.03x = 51,910.43
  5. Step 5: Solve for x
    x = 51,910.43/192.03
  6. Step 6: Final answer
    x = 270.32

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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.