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Finding the Fourth Proportional to 201.22, 301.23 and 128.86

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Solution

The fourth proportional to 201.22, 301.23 and 128.86 is: 192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.22 : 301.23 = 128.86 : x
  2. Step 2: Convert to fraction form
    201.22/301.23 = 128.86/x
  3. Step 3: Cross multiply
    201.22x = 301.23 × 128.86
  4. Step 4: Simplify right side
    201.22x = 38,816.50
  5. Step 5: Solve for x
    x = 38,816.50/201.22
  6. Step 6: Final answer
    x = 192.91

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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.