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Finding the Fourth Proportional to 481.81, 722.31 and 193.18

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Solution

The fourth proportional to 481.81, 722.31 and 193.18 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.81 : 722.31 = 193.18 : x
  2. Step 2: Convert to fraction form
    481.81/722.31 = 193.18/x
  3. Step 3: Cross multiply
    481.81x = 722.31 × 193.18
  4. Step 4: Simplify right side
    481.81x = 139,535.85
  5. Step 5: Solve for x
    x = 139,535.85/481.81
  6. Step 6: Final answer
    x = 289.61

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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.