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Finding the Fourth Proportional to 208.95, 288.38 and 121.60

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Solution

The fourth proportional to 208.95, 288.38 and 121.60 is: 167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 288.38 = 121.60 : x
  2. Step 2: Convert to fraction form
    208.95/288.38 = 121.60/x
  3. Step 3: Cross multiply
    208.95x = 288.38 × 121.60
  4. Step 4: Simplify right side
    208.95x = 35,067.01
  5. Step 5: Solve for x
    x = 35,067.01/208.95
  6. Step 6: Final answer
    x = 167.82

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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.