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Finding the Fourth Proportional to 559.96, 839.49 and 213.23

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Solution

The fourth proportional to 559.96, 839.49 and 213.23 is: 319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.96 : 839.49 = 213.23 : x
  2. Step 2: Convert to fraction form
    559.96/839.49 = 213.23/x
  3. Step 3: Cross multiply
    559.96x = 839.49 × 213.23
  4. Step 4: Simplify right side
    559.96x = 179,006.35
  5. Step 5: Solve for x
    x = 179,006.35/559.96
  6. Step 6: Final answer
    x = 319.68

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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.