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Finding the Fourth Proportional to 481.42, 722.04 and 192.82

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Solution

The fourth proportional to 481.42, 722.04 and 192.82 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.42 : 722.04 = 192.82 : x
  2. Step 2: Convert to fraction form
    481.42/722.04 = 192.82/x
  3. Step 3: Cross multiply
    481.42x = 722.04 × 192.82
  4. Step 4: Simplify right side
    481.42x = 139,223.75
  5. Step 5: Solve for x
    x = 139,223.75/481.42
  6. Step 6: Final answer
    x = 289.19

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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.