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Finding the Fourth Proportional to 192.05, 286.22 and 187.60

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Solution

The fourth proportional to 192.05, 286.22 and 187.60 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 286.22 = 187.60 : x
  2. Step 2: Convert to fraction form
    192.05/286.22 = 187.60/x
  3. Step 3: Cross multiply
    192.05x = 286.22 × 187.60
  4. Step 4: Simplify right side
    192.05x = 53,693.44
  5. Step 5: Solve for x
    x = 53,693.44/192.05
  6. Step 6: Final answer
    x = 279.58

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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.