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Finding the Fourth Proportional to 481.10, 663.72 and 294.68

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Solution

The fourth proportional to 481.10, 663.72 and 294.68 is: 406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.10 : 663.72 = 294.68 : x
  2. Step 2: Convert to fraction form
    481.10/663.72 = 294.68/x
  3. Step 3: Cross multiply
    481.10x = 663.72 × 294.68
  4. Step 4: Simplify right side
    481.10x = 195,585.01
  5. Step 5: Solve for x
    x = 195,585.01/481.10
  6. Step 6: Final answer
    x = 406.54

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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.