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Finding the Fourth Proportional to 482, 722.92 and 208.24

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Solution

The fourth proportional to 482, 722.92 and 208.24 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    482 : 722.92 = 208.24 : x
  2. Step 2: Convert to fraction form
    482/722.92 = 208.24/x
  3. Step 3: Cross multiply
    482x = 722.92 × 208.24
  4. Step 4: Simplify right side
    482x = 150,540.86
  5. Step 5: Solve for x
    x = 150,540.86/482
  6. Step 6: Final answer
    x = 312.33

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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.