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Finding the Fourth Proportional to 547.57, 821.43 and 196.15

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Solution

The fourth proportional to 547.57, 821.43 and 196.15 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.57 : 821.43 = 196.15 : x
  2. Step 2: Convert to fraction form
    547.57/821.43 = 196.15/x
  3. Step 3: Cross multiply
    547.57x = 821.43 × 196.15
  4. Step 4: Simplify right side
    547.57x = 161,121.22
  5. Step 5: Solve for x
    x = 161,121.22/547.57
  6. Step 6: Final answer
    x = 294.25

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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.