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Finding the Fourth Proportional to 481.85, 664.86 and 285.40

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Solution

The fourth proportional to 481.85, 664.86 and 285.40 is: 393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.85 : 664.86 = 285.40 : x
  2. Step 2: Convert to fraction form
    481.85/664.86 = 285.40/x
  3. Step 3: Cross multiply
    481.85x = 664.86 × 285.40
  4. Step 4: Simplify right side
    481.85x = 189,751.04
  5. Step 5: Solve for x
    x = 189,751.04/481.85
  6. Step 6: Final answer
    x = 393.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.