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Finding the Fourth Proportional to 192.06, 287.89 and 115.05

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Solution

The fourth proportional to 192.06, 287.89 and 115.05 is: 172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.06 : 287.89 = 115.05 : x
  2. Step 2: Convert to fraction form
    192.06/287.89 = 115.05/x
  3. Step 3: Cross multiply
    192.06x = 287.89 × 115.05
  4. Step 4: Simplify right side
    192.06x = 33,121.74
  5. Step 5: Solve for x
    x = 33,121.74/192.06
  6. Step 6: Final answer
    x = 172.46

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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.