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Finding the Fourth Proportional to 496.02, 684.56 and 274.97

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Solution

The fourth proportional to 496.02, 684.56 and 274.97 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 684.56 = 274.97 : x
  2. Step 2: Convert to fraction form
    496.02/684.56 = 274.97/x
  3. Step 3: Cross multiply
    496.02x = 684.56 × 274.97
  4. Step 4: Simplify right side
    496.02x = 188,233.46
  5. Step 5: Solve for x
    x = 188,233.46/496.02
  6. Step 6: Final answer
    x = 379.49

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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.