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Finding the Fourth Proportional to 312.41, 468.81 and 182.48

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Solution

The fourth proportional to 312.41, 468.81 and 182.48 is: 273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.41 : 468.81 = 182.48 : x
  2. Step 2: Convert to fraction form
    312.41/468.81 = 182.48/x
  3. Step 3: Cross multiply
    312.41x = 468.81 × 182.48
  4. Step 4: Simplify right side
    312.41x = 85,546.10
  5. Step 5: Solve for x
    x = 85,546.10/312.41
  6. Step 6: Final answer
    x = 273.83

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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.