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Finding the Fourth Proportional to 312.17, 467.94 and 149.76

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Solution

The fourth proportional to 312.17, 467.94 and 149.76 is: 224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.17 : 467.94 = 149.76 : x
  2. Step 2: Convert to fraction form
    312.17/467.94 = 149.76/x
  3. Step 3: Cross multiply
    312.17x = 467.94 × 149.76
  4. Step 4: Simplify right side
    312.17x = 70,078.69
  5. Step 5: Solve for x
    x = 70,078.69/312.17
  6. Step 6: Final answer
    x = 224.49

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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.