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Finding the Fourth Proportional to 547.46, 821.19 and 200.88

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Solution

The fourth proportional to 547.46, 821.19 and 200.88 is: 301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.46 : 821.19 = 200.88 : x
  2. Step 2: Convert to fraction form
    547.46/821.19 = 200.88/x
  3. Step 3: Cross multiply
    547.46x = 821.19 × 200.88
  4. Step 4: Simplify right side
    547.46x = 164,960.27
  5. Step 5: Solve for x
    x = 164,960.27/547.46
  6. Step 6: Final answer
    x = 301.32

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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.