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Finding the Fourth Proportional to 190.90, 288.39 and 190.18

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Solution

The fourth proportional to 190.90, 288.39 and 190.18 is: 287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.90 : 288.39 = 190.18 : x
  2. Step 2: Convert to fraction form
    190.90/288.39 = 190.18/x
  3. Step 3: Cross multiply
    190.90x = 288.39 × 190.18
  4. Step 4: Simplify right side
    190.90x = 54,846.01
  5. Step 5: Solve for x
    x = 54,846.01/190.90
  6. Step 6: Final answer
    x = 287.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.