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Finding the Fourth Proportional to 547.28, 821 and 200.64

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Solution

The fourth proportional to 547.28, 821 and 200.64 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 821 = 200.64 : x
  2. Step 2: Convert to fraction form
    547.28/821 = 200.64/x
  3. Step 3: Cross multiply
    547.28x = 821 × 200.64
  4. Step 4: Simplify right side
    547.28x = 164,725.44
  5. Step 5: Solve for x
    x = 164,725.44/547.28
  6. Step 6: Final answer
    x = 300.99

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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.