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Finding the Fourth Proportional to 201.24, 303.13 and 189.09

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Solution

The fourth proportional to 201.24, 303.13 and 189.09 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 303.13 = 189.09 : x
  2. Step 2: Convert to fraction form
    201.24/303.13 = 189.09/x
  3. Step 3: Cross multiply
    201.24x = 303.13 × 189.09
  4. Step 4: Simplify right side
    201.24x = 57,318.85
  5. Step 5: Solve for x
    x = 57,318.85/201.24
  6. Step 6: Final answer
    x = 284.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.