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Finding the Fourth Proportional to 201.03, 301.56 and 85.45

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Solution

The fourth proportional to 201.03, 301.56 and 85.45 is: 128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.03 : 301.56 = 85.45 : x
  2. Step 2: Convert to fraction form
    201.03/301.56 = 85.45/x
  3. Step 3: Cross multiply
    201.03x = 301.56 × 85.45
  4. Step 4: Simplify right side
    201.03x = 25,768.30
  5. Step 5: Solve for x
    x = 25,768.30/201.03
  6. Step 6: Final answer
    x = 128.18

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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.