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Finding the Fourth Proportional to 320.55, 441.20 and 273.77

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Solution

The fourth proportional to 320.55, 441.20 and 273.77 is: 376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.55 : 441.20 = 273.77 : x
  2. Step 2: Convert to fraction form
    320.55/441.20 = 273.77/x
  3. Step 3: Cross multiply
    320.55x = 441.20 × 273.77
  4. Step 4: Simplify right side
    320.55x = 120,783.75
  5. Step 5: Solve for x
    x = 120,783.75/320.55
  6. Step 6: Final answer
    x = 376.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.