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Finding the Fourth Proportional to 547.50, 821.44 and 200.84

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Solution

The fourth proportional to 547.50, 821.44 and 200.84 is: 301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 821.44 = 200.84 : x
  2. Step 2: Convert to fraction form
    547.50/821.44 = 200.84/x
  3. Step 3: Cross multiply
    547.50x = 821.44 × 200.84
  4. Step 4: Simplify right side
    547.50x = 164,978.01
  5. Step 5: Solve for x
    x = 164,978.01/547.50
  6. Step 6: Final answer
    x = 301.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.