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Finding the Fourth Proportional to 208.76, 289.58 and 197.82

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Solution

The fourth proportional to 208.76, 289.58 and 197.82 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.76 : 289.58 = 197.82 : x
  2. Step 2: Convert to fraction form
    208.76/289.58 = 197.82/x
  3. Step 3: Cross multiply
    208.76x = 289.58 × 197.82
  4. Step 4: Simplify right side
    208.76x = 57,283.73
  5. Step 5: Solve for x
    x = 57,283.73/208.76
  6. Step 6: Final answer
    x = 274.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.