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Finding the Fourth Proportional to 208.78, 286.47 and 197.17

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Solution

The fourth proportional to 208.78, 286.47 and 197.17 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 286.47 = 197.17 : x
  2. Step 2: Convert to fraction form
    208.78/286.47 = 197.17/x
  3. Step 3: Cross multiply
    208.78x = 286.47 × 197.17
  4. Step 4: Simplify right side
    208.78x = 56,482.57
  5. Step 5: Solve for x
    x = 56,482.57/208.78
  6. Step 6: Final answer
    x = 270.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.