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Finding the Fourth Proportional to 206.83, 312.08 and 205.21

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Solution

The fourth proportional to 206.83, 312.08 and 205.21 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 312.08 = 205.21 : x
  2. Step 2: Convert to fraction form
    206.83/312.08 = 205.21/x
  3. Step 3: Cross multiply
    206.83x = 312.08 × 205.21
  4. Step 4: Simplify right side
    206.83x = 64,040.91
  5. Step 5: Solve for x
    x = 64,040.91/206.83
  6. Step 6: Final answer
    x = 309.63

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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.