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Finding the Fourth Proportional to 481.69, 722.66 and 193.13

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Solution

The fourth proportional to 481.69, 722.66 and 193.13 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.69 : 722.66 = 193.13 : x
  2. Step 2: Convert to fraction form
    481.69/722.66 = 193.13/x
  3. Step 3: Cross multiply
    481.69x = 722.66 × 193.13
  4. Step 4: Simplify right side
    481.69x = 139,562.75
  5. Step 5: Solve for x
    x = 139,562.75/481.69
  6. Step 6: Final answer
    x = 289.74

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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.