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Finding the Fourth Proportional to 205.90, 282.46 and 200.51

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Solution

The fourth proportional to 205.90, 282.46 and 200.51 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 282.46 = 200.51 : x
  2. Step 2: Convert to fraction form
    205.90/282.46 = 200.51/x
  3. Step 3: Cross multiply
    205.90x = 282.46 × 200.51
  4. Step 4: Simplify right side
    205.90x = 56,636.05
  5. Step 5: Solve for x
    x = 56,636.05/205.90
  6. Step 6: Final answer
    x = 275.07

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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.