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Finding the Fourth Proportional to 345.96, 519.17 and 163.44

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Solution

The fourth proportional to 345.96, 519.17 and 163.44 is: 245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.96 : 519.17 = 163.44 : x
  2. Step 2: Convert to fraction form
    345.96/519.17 = 163.44/x
  3. Step 3: Cross multiply
    345.96x = 519.17 × 163.44
  4. Step 4: Simplify right side
    345.96x = 84,852.33
  5. Step 5: Solve for x
    x = 84,852.33/345.96
  6. Step 6: Final answer
    x = 245.27

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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.