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Finding the Fourth Proportional to 190.09, 283.40 and 185.28

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Solution

The fourth proportional to 190.09, 283.40 and 185.28 is: 276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.09 : 283.40 = 185.28 : x
  2. Step 2: Convert to fraction form
    190.09/283.40 = 185.28/x
  3. Step 3: Cross multiply
    190.09x = 283.40 × 185.28
  4. Step 4: Simplify right side
    190.09x = 52,508.35
  5. Step 5: Solve for x
    x = 52,508.35/190.09
  6. Step 6: Final answer
    x = 276.23

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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.