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Finding the Fourth Proportional to 496.48, 744.76 and 208

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Solution

The fourth proportional to 496.48, 744.76 and 208 is: 312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.48 : 744.76 = 208 : x
  2. Step 2: Convert to fraction form
    496.48/744.76 = 208/x
  3. Step 3: Cross multiply
    496.48x = 744.76 × 208
  4. Step 4: Simplify right side
    496.48x = 154,910.08
  5. Step 5: Solve for x
    x = 154,910.08/496.48
  6. Step 6: Final answer
    x = 312.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.