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Finding the Fourth Proportional to 796.90, 1,195.38 and 219.76

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Solution

The fourth proportional to 796.90, 1,195.38 and 219.76 is: 329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.90 : 1,195.38 = 219.76 : x
  2. Step 2: Convert to fraction form
    796.90/1,195.38 = 219.76/x
  3. Step 3: Cross multiply
    796.90x = 1,195.38 × 219.76
  4. Step 4: Simplify right side
    796.90x = 262,696.71
  5. Step 5: Solve for x
    x = 262,696.71/796.90
  6. Step 6: Final answer
    x = 329.65

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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.