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Finding the Fourth Proportional to 312.06, 467.41 and 174.81

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Solution

The fourth proportional to 312.06, 467.41 and 174.81 is: 261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 467.41 = 174.81 : x
  2. Step 2: Convert to fraction form
    312.06/467.41 = 174.81/x
  3. Step 3: Cross multiply
    312.06x = 467.41 × 174.81
  4. Step 4: Simplify right side
    312.06x = 81,707.94
  5. Step 5: Solve for x
    x = 81,707.94/312.06
  6. Step 6: Final answer
    x = 261.83

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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.