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Finding the Fourth Proportional to 208.54, 287.92 and 161.19

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Solution

The fourth proportional to 208.54, 287.92 and 161.19 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 287.92 = 161.19 : x
  2. Step 2: Convert to fraction form
    208.54/287.92 = 161.19/x
  3. Step 3: Cross multiply
    208.54x = 287.92 × 161.19
  4. Step 4: Simplify right side
    208.54x = 46,410.06
  5. Step 5: Solve for x
    x = 46,410.06/208.54
  6. Step 6: Final answer
    x = 222.55

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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.