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Finding the Fourth Proportional to 205.84, 285.54 and 200.56

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Solution

The fourth proportional to 205.84, 285.54 and 200.56 is: 278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 285.54 = 200.56 : x
  2. Step 2: Convert to fraction form
    205.84/285.54 = 200.56/x
  3. Step 3: Cross multiply
    205.84x = 285.54 × 200.56
  4. Step 4: Simplify right side
    205.84x = 57,267.90
  5. Step 5: Solve for x
    x = 57,267.90/205.84
  6. Step 6: Final answer
    x = 278.22

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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.