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Finding the Fourth Proportional to 312.22, 468.42 and 106.78

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Solution

The fourth proportional to 312.22, 468.42 and 106.78 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.22 : 468.42 = 106.78 : x
  2. Step 2: Convert to fraction form
    312.22/468.42 = 106.78/x
  3. Step 3: Cross multiply
    312.22x = 468.42 × 106.78
  4. Step 4: Simplify right side
    312.22x = 50,019.06
  5. Step 5: Solve for x
    x = 50,019.06/312.22
  6. Step 6: Final answer
    x = 160.21

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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.