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Finding the Fourth Proportional to 829.22, 1,243.81 and 212.91

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Solution

The fourth proportional to 829.22, 1,243.81 and 212.91 is: 319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.22 : 1,243.81 = 212.91 : x
  2. Step 2: Convert to fraction form
    829.22/1,243.81 = 212.91/x
  3. Step 3: Cross multiply
    829.22x = 1,243.81 × 212.91
  4. Step 4: Simplify right side
    829.22x = 264,820.99
  5. Step 5: Solve for x
    x = 264,820.99/829.22
  6. Step 6: Final answer
    x = 319.36

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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.