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Finding the Fourth Proportional to 201.53, 300.85 and 192.67

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Solution

The fourth proportional to 201.53, 300.85 and 192.67 is: 287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.53 : 300.85 = 192.67 : x
  2. Step 2: Convert to fraction form
    201.53/300.85 = 192.67/x
  3. Step 3: Cross multiply
    201.53x = 300.85 × 192.67
  4. Step 4: Simplify right side
    201.53x = 57,962.78
  5. Step 5: Solve for x
    x = 57,962.78/201.53
  6. Step 6: Final answer
    x = 287.61

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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.