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Finding the Fourth Proportional to 190.37, 284.14 and 163.37

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Solution

The fourth proportional to 190.37, 284.14 and 163.37 is: 243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.37 : 284.14 = 163.37 : x
  2. Step 2: Convert to fraction form
    190.37/284.14 = 163.37/x
  3. Step 3: Cross multiply
    190.37x = 284.14 × 163.37
  4. Step 4: Simplify right side
    190.37x = 46,419.95
  5. Step 5: Solve for x
    x = 46,419.95/190.37
  6. Step 6: Final answer
    x = 243.84

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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.