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Finding the Fourth Proportional to 312.14, 467.78 and 119.66

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Solution

The fourth proportional to 312.14, 467.78 and 119.66 is: 179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 467.78 = 119.66 : x
  2. Step 2: Convert to fraction form
    312.14/467.78 = 119.66/x
  3. Step 3: Cross multiply
    312.14x = 467.78 × 119.66
  4. Step 4: Simplify right side
    312.14x = 55,971.62
  5. Step 5: Solve for x
    x = 55,971.62/312.14
  6. Step 6: Final answer
    x = 179.32

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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.