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Finding the Fourth Proportional to 190.05, 285.08 and 187.37

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Solution

The fourth proportional to 190.05, 285.08 and 187.37 is: 281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.05 : 285.08 = 187.37 : x
  2. Step 2: Convert to fraction form
    190.05/285.08 = 187.37/x
  3. Step 3: Cross multiply
    190.05x = 285.08 × 187.37
  4. Step 4: Simplify right side
    190.05x = 53,413.08
  5. Step 5: Solve for x
    x = 53,413.08/190.05
  6. Step 6: Final answer
    x = 281.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.