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Finding the Fourth Proportional to 208.14, 288.59 and 197.20

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Solution

The fourth proportional to 208.14, 288.59 and 197.20 is: 273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.14 : 288.59 = 197.20 : x
  2. Step 2: Convert to fraction form
    208.14/288.59 = 197.20/x
  3. Step 3: Cross multiply
    208.14x = 288.59 × 197.20
  4. Step 4: Simplify right side
    208.14x = 56,909.95
  5. Step 5: Solve for x
    x = 56,909.95/208.14
  6. Step 6: Final answer
    x = 273.42

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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.