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Finding the Fourth Proportional to 208.89, 288.23 and 125.97

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Solution

The fourth proportional to 208.89, 288.23 and 125.97 is: 173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.89 : 288.23 = 125.97 : x
  2. Step 2: Convert to fraction form
    208.89/288.23 = 125.97/x
  3. Step 3: Cross multiply
    208.89x = 288.23 × 125.97
  4. Step 4: Simplify right side
    208.89x = 36,308.33
  5. Step 5: Solve for x
    x = 36,308.33/208.89
  6. Step 6: Final answer
    x = 173.82

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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.