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Finding the Fourth Proportional to 619.41, 928.97 and 180.55

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Solution

The fourth proportional to 619.41, 928.97 and 180.55 is: 270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.41 : 928.97 = 180.55 : x
  2. Step 2: Convert to fraction form
    619.41/928.97 = 180.55/x
  3. Step 3: Cross multiply
    619.41x = 928.97 × 180.55
  4. Step 4: Simplify right side
    619.41x = 167,723.66
  5. Step 5: Solve for x
    x = 167,723.66/619.41
  6. Step 6: Final answer
    x = 270.78

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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.