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Finding the Fourth Proportional to 312.07, 467.84 and 119.83

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Solution

The fourth proportional to 312.07, 467.84 and 119.83 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.07 : 467.84 = 119.83 : x
  2. Step 2: Convert to fraction form
    312.07/467.84 = 119.83/x
  3. Step 3: Cross multiply
    312.07x = 467.84 × 119.83
  4. Step 4: Simplify right side
    312.07x = 56,061.84
  5. Step 5: Solve for x
    x = 56,061.84/312.07
  6. Step 6: Final answer
    x = 179.64

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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.