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Finding the Fourth Proportional to 213.05, 319.61 and 104.85

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Solution

The fourth proportional to 213.05, 319.61 and 104.85 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 319.61 = 104.85 : x
  2. Step 2: Convert to fraction form
    213.05/319.61 = 104.85/x
  3. Step 3: Cross multiply
    213.05x = 319.61 × 104.85
  4. Step 4: Simplify right side
    213.05x = 33,508.99
  5. Step 5: Solve for x
    x = 33,508.99/213.05
  6. Step 6: Final answer
    x = 157.28

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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.