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Finding the Fourth Proportional to 208.22, 284.43 and 206.87

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Solution

The fourth proportional to 208.22, 284.43 and 206.87 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 284.43 = 206.87 : x
  2. Step 2: Convert to fraction form
    208.22/284.43 = 206.87/x
  3. Step 3: Cross multiply
    208.22x = 284.43 × 206.87
  4. Step 4: Simplify right side
    208.22x = 58,840.03
  5. Step 5: Solve for x
    x = 58,840.03/208.22
  6. Step 6: Final answer
    x = 282.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.