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Finding the Fourth Proportional to 203.21, 306.41 and 186.20

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Solution

The fourth proportional to 203.21, 306.41 and 186.20 is: 280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.21 : 306.41 = 186.20 : x
  2. Step 2: Convert to fraction form
    203.21/306.41 = 186.20/x
  3. Step 3: Cross multiply
    203.21x = 306.41 × 186.20
  4. Step 4: Simplify right side
    203.21x = 57,052.75
  5. Step 5: Solve for x
    x = 57,052.75/203.21
  6. Step 6: Final answer
    x = 280.76

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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.