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Finding the Fourth Proportional to 345.33, 517.26 and 223.23

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Solution

The fourth proportional to 345.33, 517.26 and 223.23 is: 334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.33 : 517.26 = 223.23 : x
  2. Step 2: Convert to fraction form
    345.33/517.26 = 223.23/x
  3. Step 3: Cross multiply
    345.33x = 517.26 × 223.23
  4. Step 4: Simplify right side
    345.33x = 115,467.95
  5. Step 5: Solve for x
    x = 115,467.95/345.33
  6. Step 6: Final answer
    x = 334.37

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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.