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Finding the Fourth Proportional to 203.22, 306.36 and 189.83

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Solution

The fourth proportional to 203.22, 306.36 and 189.83 is: 286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.22 : 306.36 = 189.83 : x
  2. Step 2: Convert to fraction form
    203.22/306.36 = 189.83/x
  3. Step 3: Cross multiply
    203.22x = 306.36 × 189.83
  4. Step 4: Simplify right side
    203.22x = 58,155.37
  5. Step 5: Solve for x
    x = 58,155.37/203.22
  6. Step 6: Final answer
    x = 286.17

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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.