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Finding the Fourth Proportional to 203.62, 303.28 and 201.22

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Solution

The fourth proportional to 203.62, 303.28 and 201.22 is: 299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.62 : 303.28 = 201.22 : x
  2. Step 2: Convert to fraction form
    203.62/303.28 = 201.22/x
  3. Step 3: Cross multiply
    203.62x = 303.28 × 201.22
  4. Step 4: Simplify right side
    203.62x = 61,025.00
  5. Step 5: Solve for x
    x = 61,025.00/203.62
  6. Step 6: Final answer
    x = 299.70

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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.