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Finding the Fourth Proportional to 208.53, 285.84 and 205.71

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Solution

The fourth proportional to 208.53, 285.84 and 205.71 is: 281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 285.84 = 205.71 : x
  2. Step 2: Convert to fraction form
    208.53/285.84 = 205.71/x
  3. Step 3: Cross multiply
    208.53x = 285.84 × 205.71
  4. Step 4: Simplify right side
    208.53x = 58,800.15
  5. Step 5: Solve for x
    x = 58,800.15/208.53
  6. Step 6: Final answer
    x = 281.97

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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.