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Finding the Fourth Proportional to 205.46, 285.37 and 199.70

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Solution

The fourth proportional to 205.46, 285.37 and 199.70 is: 277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 285.37 = 199.70 : x
  2. Step 2: Convert to fraction form
    205.46/285.37 = 199.70/x
  3. Step 3: Cross multiply
    205.46x = 285.37 × 199.70
  4. Step 4: Simplify right side
    205.46x = 56,988.39
  5. Step 5: Solve for x
    x = 56,988.39/205.46
  6. Step 6: Final answer
    x = 277.37

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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.