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Finding the Fourth Proportional to 311.94, 467.68 and 106.45

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Solution

The fourth proportional to 311.94, 467.68 and 106.45 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.94 : 467.68 = 106.45 : x
  2. Step 2: Convert to fraction form
    311.94/467.68 = 106.45/x
  3. Step 3: Cross multiply
    311.94x = 467.68 × 106.45
  4. Step 4: Simplify right side
    311.94x = 49,784.54
  5. Step 5: Solve for x
    x = 49,784.54/311.94
  6. Step 6: Final answer
    x = 159.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.