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Finding the Fourth Proportional to 312.37, 467.74 and 214.65

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Solution

The fourth proportional to 312.37, 467.74 and 214.65 is: 321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.37 : 467.74 = 214.65 : x
  2. Step 2: Convert to fraction form
    312.37/467.74 = 214.65/x
  3. Step 3: Cross multiply
    312.37x = 467.74 × 214.65
  4. Step 4: Simplify right side
    312.37x = 100,400.39
  5. Step 5: Solve for x
    x = 100,400.39/312.37
  6. Step 6: Final answer
    x = 321.41

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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.