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Finding the Fourth Proportional to 481.87, 722.84 and 135.21

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Solution

The fourth proportional to 481.87, 722.84 and 135.21 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.87 : 722.84 = 135.21 : x
  2. Step 2: Convert to fraction form
    481.87/722.84 = 135.21/x
  3. Step 3: Cross multiply
    481.87x = 722.84 × 135.21
  4. Step 4: Simplify right side
    481.87x = 97,735.20
  5. Step 5: Solve for x
    x = 97,735.20/481.87
  6. Step 6: Final answer
    x = 202.82

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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.