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Finding the Fourth Proportional to 192.14, 286.43 and 189.18

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Solution

The fourth proportional to 192.14, 286.43 and 189.18 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.14 : 286.43 = 189.18 : x
  2. Step 2: Convert to fraction form
    192.14/286.43 = 189.18/x
  3. Step 3: Cross multiply
    192.14x = 286.43 × 189.18
  4. Step 4: Simplify right side
    192.14x = 54,186.83
  5. Step 5: Solve for x
    x = 54,186.83/192.14
  6. Step 6: Final answer
    x = 282.02

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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.