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Finding the Fourth Proportional to 192.28, 286.46 and 183.10

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Solution

The fourth proportional to 192.28, 286.46 and 183.10 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.28 : 286.46 = 183.10 : x
  2. Step 2: Convert to fraction form
    192.28/286.46 = 183.10/x
  3. Step 3: Cross multiply
    192.28x = 286.46 × 183.10
  4. Step 4: Simplify right side
    192.28x = 52,450.83
  5. Step 5: Solve for x
    x = 52,450.83/192.28
  6. Step 6: Final answer
    x = 272.78

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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.