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Finding the Fourth Proportional to 208.03, 285.23 and 197.59

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Solution

The fourth proportional to 208.03, 285.23 and 197.59 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.03 : 285.23 = 197.59 : x
  2. Step 2: Convert to fraction form
    208.03/285.23 = 197.59/x
  3. Step 3: Cross multiply
    208.03x = 285.23 × 197.59
  4. Step 4: Simplify right side
    208.03x = 56,358.60
  5. Step 5: Solve for x
    x = 56,358.60/208.03
  6. Step 6: Final answer
    x = 270.92

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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.