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Finding the Fourth Proportional to 884.21, 1,326.32 and 234.95

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Solution

The fourth proportional to 884.21, 1,326.32 and 234.95 is: 352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.21 : 1,326.32 = 234.95 : x
  2. Step 2: Convert to fraction form
    884.21/1,326.32 = 234.95/x
  3. Step 3: Cross multiply
    884.21x = 1,326.32 × 234.95
  4. Step 4: Simplify right side
    884.21x = 311,611.08
  5. Step 5: Solve for x
    x = 311,611.08/884.21
  6. Step 6: Final answer
    x = 352.42

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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.