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Finding the Fourth Proportional to 208.58, 289.80 and 206

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Solution

The fourth proportional to 208.58, 289.80 and 206 is: 286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.58 : 289.80 = 206 : x
  2. Step 2: Convert to fraction form
    208.58/289.80 = 206/x
  3. Step 3: Cross multiply
    208.58x = 289.80 × 206
  4. Step 4: Simplify right side
    208.58x = 59,698.80
  5. Step 5: Solve for x
    x = 59,698.80/208.58
  6. Step 6: Final answer
    x = 286.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.