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Finding the Fourth Proportional to 201.89, 303.35 and 133.45

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Solution

The fourth proportional to 201.89, 303.35 and 133.45 is: 200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 303.35 = 133.45 : x
  2. Step 2: Convert to fraction form
    201.89/303.35 = 133.45/x
  3. Step 3: Cross multiply
    201.89x = 303.35 × 133.45
  4. Step 4: Simplify right side
    201.89x = 40,480.63
  5. Step 5: Solve for x
    x = 40,480.63/201.89
  6. Step 6: Final answer
    x = 200.51

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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.