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Finding the Fourth Proportional to 481.20, 722.06 and 192.66

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Solution

The fourth proportional to 481.20, 722.06 and 192.66 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.20 : 722.06 = 192.66 : x
  2. Step 2: Convert to fraction form
    481.20/722.06 = 192.66/x
  3. Step 3: Cross multiply
    481.20x = 722.06 × 192.66
  4. Step 4: Simplify right side
    481.20x = 139,108.95
  5. Step 5: Solve for x
    x = 139,108.95/481.20
  6. Step 6: Final answer
    x = 289.09

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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.