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Finding the Fourth Proportional to 792.20, 1,188.32 and 244.39

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Solution

The fourth proportional to 792.20, 1,188.32 and 244.39 is: 366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.20 : 1,188.32 = 244.39 : x
  2. Step 2: Convert to fraction form
    792.20/1,188.32 = 244.39/x
  3. Step 3: Cross multiply
    792.20x = 1,188.32 × 244.39
  4. Step 4: Simplify right side
    792.20x = 290,413.52
  5. Step 5: Solve for x
    x = 290,413.52/792.20
  6. Step 6: Final answer
    x = 366.59

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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.