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Finding the Fourth Proportional to 481.78, 722.44 and 238.02

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Solution

The fourth proportional to 481.78, 722.44 and 238.02 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.78 : 722.44 = 238.02 : x
  2. Step 2: Convert to fraction form
    481.78/722.44 = 238.02/x
  3. Step 3: Cross multiply
    481.78x = 722.44 × 238.02
  4. Step 4: Simplify right side
    481.78x = 171,950.37
  5. Step 5: Solve for x
    x = 171,950.37/481.78
  6. Step 6: Final answer
    x = 356.91

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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.