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Finding the Fourth Proportional to 496.41, 685.04 and 275.39

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Solution

The fourth proportional to 496.41, 685.04 and 275.39 is: 380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.41 : 685.04 = 275.39 : x
  2. Step 2: Convert to fraction form
    496.41/685.04 = 275.39/x
  3. Step 3: Cross multiply
    496.41x = 685.04 × 275.39
  4. Step 4: Simplify right side
    496.41x = 188,655.57
  5. Step 5: Solve for x
    x = 188,655.57/496.41
  6. Step 6: Final answer
    x = 380.04

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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.