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Finding the Fourth Proportional to 208.22, 287.21 and 159.08

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Solution

The fourth proportional to 208.22, 287.21 and 159.08 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 287.21 = 159.08 : x
  2. Step 2: Convert to fraction form
    208.22/287.21 = 159.08/x
  3. Step 3: Cross multiply
    208.22x = 287.21 × 159.08
  4. Step 4: Simplify right side
    208.22x = 45,687.14
  5. Step 5: Solve for x
    x = 45,687.14/208.22
  6. Step 6: Final answer
    x = 219.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.