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Finding the Fourth Proportional to 208.27, 285.61 and 197.74

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Solution

The fourth proportional to 208.27, 285.61 and 197.74 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.27 : 285.61 = 197.74 : x
  2. Step 2: Convert to fraction form
    208.27/285.61 = 197.74/x
  3. Step 3: Cross multiply
    208.27x = 285.61 × 197.74
  4. Step 4: Simplify right side
    208.27x = 56,474.10
  5. Step 5: Solve for x
    x = 56,474.10/208.27
  6. Step 6: Final answer
    x = 271.16

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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.