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Finding the Fourth Proportional to 481.72, 665.22 and 306.76

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Solution

The fourth proportional to 481.72, 665.22 and 306.76 is: 423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 665.22 = 306.76 : x
  2. Step 2: Convert to fraction form
    481.72/665.22 = 306.76/x
  3. Step 3: Cross multiply
    481.72x = 665.22 × 306.76
  4. Step 4: Simplify right side
    481.72x = 204,062.89
  5. Step 5: Solve for x
    x = 204,062.89/481.72
  6. Step 6: Final answer
    x = 423.61

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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.