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Finding the Fourth Proportional to 205.83, 282.37 and 200.13

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Solution

The fourth proportional to 205.83, 282.37 and 200.13 is: 274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 282.37 = 200.13 : x
  2. Step 2: Convert to fraction form
    205.83/282.37 = 200.13/x
  3. Step 3: Cross multiply
    205.83x = 282.37 × 200.13
  4. Step 4: Simplify right side
    205.83x = 56,512.35
  5. Step 5: Solve for x
    x = 56,512.35/205.83
  6. Step 6: Final answer
    x = 274.56

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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.