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Finding the Fourth Proportional to 312.24, 468.42 and 149.83

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Solution

The fourth proportional to 312.24, 468.42 and 149.83 is: 224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 468.42 = 149.83 : x
  2. Step 2: Convert to fraction form
    312.24/468.42 = 149.83/x
  3. Step 3: Cross multiply
    312.24x = 468.42 × 149.83
  4. Step 4: Simplify right side
    312.24x = 70,183.37
  5. Step 5: Solve for x
    x = 70,183.37/312.24
  6. Step 6: Final answer
    x = 224.78

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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.