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Finding the Fourth Proportional to 213.23, 319.38 and 110.62

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Solution

The fourth proportional to 213.23, 319.38 and 110.62 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 319.38 = 110.62 : x
  2. Step 2: Convert to fraction form
    213.23/319.38 = 110.62/x
  3. Step 3: Cross multiply
    213.23x = 319.38 × 110.62
  4. Step 4: Simplify right side
    213.23x = 35,327.67
  5. Step 5: Solve for x
    x = 35,327.67/213.23
  6. Step 6: Final answer
    x = 165.68

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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.