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Finding the Fourth Proportional to 208.76, 288.22 and 138.86

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Solution

The fourth proportional to 208.76, 288.22 and 138.86 is: 191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.76 : 288.22 = 138.86 : x
  2. Step 2: Convert to fraction form
    208.76/288.22 = 138.86/x
  3. Step 3: Cross multiply
    208.76x = 288.22 × 138.86
  4. Step 4: Simplify right side
    208.76x = 40,022.23
  5. Step 5: Solve for x
    x = 40,022.23/208.76
  6. Step 6: Final answer
    x = 191.71

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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.