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Finding the Fourth Proportional to 312.15, 467.59 and 149.94

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Solution

The fourth proportional to 312.15, 467.59 and 149.94 is: 224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.15 : 467.59 = 149.94 : x
  2. Step 2: Convert to fraction form
    312.15/467.59 = 149.94/x
  3. Step 3: Cross multiply
    312.15x = 467.59 × 149.94
  4. Step 4: Simplify right side
    312.15x = 70,110.44
  5. Step 5: Solve for x
    x = 70,110.44/312.15
  6. Step 6: Final answer
    x = 224.60

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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.