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Finding the Fourth Proportional to 820.94, 1,231.46 and 243.86

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Solution

The fourth proportional to 820.94, 1,231.46 and 243.86 is: 365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.94 : 1,231.46 = 243.86 : x
  2. Step 2: Convert to fraction form
    820.94/1,231.46 = 243.86/x
  3. Step 3: Cross multiply
    820.94x = 1,231.46 × 243.86
  4. Step 4: Simplify right side
    820.94x = 300,296.46
  5. Step 5: Solve for x
    x = 300,296.46/820.94
  6. Step 6: Final answer
    x = 365.80

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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.