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Finding the Fourth Proportional to 547.74, 821.13 and 205.98

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Solution

The fourth proportional to 547.74, 821.13 and 205.98 is: 308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 821.13 = 205.98 : x
  2. Step 2: Convert to fraction form
    547.74/821.13 = 205.98/x
  3. Step 3: Cross multiply
    547.74x = 821.13 × 205.98
  4. Step 4: Simplify right side
    547.74x = 169,136.36
  5. Step 5: Solve for x
    x = 169,136.36/547.74
  6. Step 6: Final answer
    x = 308.79

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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.