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Finding the Fourth Proportional to 192.32, 286.93 and 190.28

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Solution

The fourth proportional to 192.32, 286.93 and 190.28 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.32 : 286.93 = 190.28 : x
  2. Step 2: Convert to fraction form
    192.32/286.93 = 190.28/x
  3. Step 3: Cross multiply
    192.32x = 286.93 × 190.28
  4. Step 4: Simplify right side
    192.32x = 54,597.04
  5. Step 5: Solve for x
    x = 54,597.04/192.32
  6. Step 6: Final answer
    x = 283.89

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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.