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Finding the Fourth Proportional to 547.03, 820.41 and 222.22

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Solution

The fourth proportional to 547.03, 820.41 and 222.22 is: 333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.03 : 820.41 = 222.22 : x
  2. Step 2: Convert to fraction form
    547.03/820.41 = 222.22/x
  3. Step 3: Cross multiply
    547.03x = 820.41 × 222.22
  4. Step 4: Simplify right side
    547.03x = 182,311.51
  5. Step 5: Solve for x
    x = 182,311.51/547.03
  6. Step 6: Final answer
    x = 333.28

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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.