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Finding the Fourth Proportional to 312.09, 467.83 and 149.88

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Solution

The fourth proportional to 312.09, 467.83 and 149.88 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 467.83 = 149.88 : x
  2. Step 2: Convert to fraction form
    312.09/467.83 = 149.88/x
  3. Step 3: Cross multiply
    312.09x = 467.83 × 149.88
  4. Step 4: Simplify right side
    312.09x = 70,119.46
  5. Step 5: Solve for x
    x = 70,119.46/312.09
  6. Step 6: Final answer
    x = 224.68

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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.