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Finding the Fourth Proportional to 619.37, 928.70 and 254.41

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Solution

The fourth proportional to 619.37, 928.70 and 254.41 is: 381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.37 : 928.70 = 254.41 : x
  2. Step 2: Convert to fraction form
    619.37/928.70 = 254.41/x
  3. Step 3: Cross multiply
    619.37x = 928.70 × 254.41
  4. Step 4: Simplify right side
    619.37x = 236,266.97
  5. Step 5: Solve for x
    x = 236,266.97/619.37
  6. Step 6: Final answer
    x = 381.47

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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.