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Finding the Fourth Proportional to 206.54, 311.19 and 184.43

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Solution

The fourth proportional to 206.54, 311.19 and 184.43 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 311.19 = 184.43 : x
  2. Step 2: Convert to fraction form
    206.54/311.19 = 184.43/x
  3. Step 3: Cross multiply
    206.54x = 311.19 × 184.43
  4. Step 4: Simplify right side
    206.54x = 57,391.22
  5. Step 5: Solve for x
    x = 57,391.22/206.54
  6. Step 6: Final answer
    x = 277.88

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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.