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Finding the Fourth Proportional to 192.55, 286.99 and 192.25

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Solution

The fourth proportional to 192.55, 286.99 and 192.25 is: 286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.55 : 286.99 = 192.25 : x
  2. Step 2: Convert to fraction form
    192.55/286.99 = 192.25/x
  3. Step 3: Cross multiply
    192.55x = 286.99 × 192.25
  4. Step 4: Simplify right side
    192.55x = 55,173.83
  5. Step 5: Solve for x
    x = 55,173.83/192.55
  6. Step 6: Final answer
    x = 286.54

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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.