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Finding the Fourth Proportional to 547.90, 821.88 and 223.29

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Solution

The fourth proportional to 547.90, 821.88 and 223.29 is: 334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.90 : 821.88 = 223.29 : x
  2. Step 2: Convert to fraction form
    547.90/821.88 = 223.29/x
  3. Step 3: Cross multiply
    547.90x = 821.88 × 223.29
  4. Step 4: Simplify right side
    547.90x = 183,517.59
  5. Step 5: Solve for x
    x = 183,517.59/547.90
  6. Step 6: Final answer
    x = 334.95

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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.