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Finding the Fourth Proportional to 481.78, 665.15 and 316.29

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Solution

The fourth proportional to 481.78, 665.15 and 316.29 is: 436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.78 : 665.15 = 316.29 : x
  2. Step 2: Convert to fraction form
    481.78/665.15 = 316.29/x
  3. Step 3: Cross multiply
    481.78x = 665.15 × 316.29
  4. Step 4: Simplify right side
    481.78x = 210,375.39
  5. Step 5: Solve for x
    x = 210,375.39/481.78
  6. Step 6: Final answer
    x = 436.66

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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.