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Finding the Fourth Proportional to 192.44, 287.02 and 180.20

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Solution

The fourth proportional to 192.44, 287.02 and 180.20 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.44 : 287.02 = 180.20 : x
  2. Step 2: Convert to fraction form
    192.44/287.02 = 180.20/x
  3. Step 3: Cross multiply
    192.44x = 287.02 × 180.20
  4. Step 4: Simplify right side
    192.44x = 51,721.00
  5. Step 5: Solve for x
    x = 51,721.00/192.44
  6. Step 6: Final answer
    x = 268.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.