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Finding the Fourth Proportional to 208.27, 310.79 and 206.45

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Solution

The fourth proportional to 208.27, 310.79 and 206.45 is: 308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.27 : 310.79 = 206.45 : x
  2. Step 2: Convert to fraction form
    208.27/310.79 = 206.45/x
  3. Step 3: Cross multiply
    208.27x = 310.79 × 206.45
  4. Step 4: Simplify right side
    208.27x = 64,161.56
  5. Step 5: Solve for x
    x = 64,161.56/208.27
  6. Step 6: Final answer
    x = 308.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.