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Finding the Fourth Proportional to 882.20, 1,323.21 and 232.94

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Solution

The fourth proportional to 882.20, 1,323.21 and 232.94 is: 349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.20 : 1,323.21 = 232.94 : x
  2. Step 2: Convert to fraction form
    882.20/1,323.21 = 232.94/x
  3. Step 3: Cross multiply
    882.20x = 1,323.21 × 232.94
  4. Step 4: Simplify right side
    882.20x = 308,228.54
  5. Step 5: Solve for x
    x = 308,228.54/882.20
  6. Step 6: Final answer
    x = 349.39

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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.