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Finding the Fourth Proportional to 345.35, 517.73 and 223.65

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Solution

The fourth proportional to 345.35, 517.73 and 223.65 is: 335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.35 : 517.73 = 223.65 : x
  2. Step 2: Convert to fraction form
    345.35/517.73 = 223.65/x
  3. Step 3: Cross multiply
    345.35x = 517.73 × 223.65
  4. Step 4: Simplify right side
    345.35x = 115,789.20
  5. Step 5: Solve for x
    x = 115,789.20/345.35
  6. Step 6: Final answer
    x = 335.28

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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.