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Finding the Fourth Proportional to 201.92, 301.50 and 190.53

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Solution

The fourth proportional to 201.92, 301.50 and 190.53 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 301.50 = 190.53 : x
  2. Step 2: Convert to fraction form
    201.92/301.50 = 190.53/x
  3. Step 3: Cross multiply
    201.92x = 301.50 × 190.53
  4. Step 4: Simplify right side
    201.92x = 57,444.80
  5. Step 5: Solve for x
    x = 57,444.80/201.92
  6. Step 6: Final answer
    x = 284.49

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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.