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Finding the Fourth Proportional to 547.99, 822.09 and 223.39

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Solution

The fourth proportional to 547.99, 822.09 and 223.39 is: 335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.99 : 822.09 = 223.39 : x
  2. Step 2: Convert to fraction form
    547.99/822.09 = 223.39/x
  3. Step 3: Cross multiply
    547.99x = 822.09 × 223.39
  4. Step 4: Simplify right side
    547.99x = 183,646.69
  5. Step 5: Solve for x
    x = 183,646.69/547.99
  6. Step 6: Final answer
    x = 335.13

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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.