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Finding the Fourth Proportional to 321.91, 482.94 and 105.47

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Solution

The fourth proportional to 321.91, 482.94 and 105.47 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.91 : 482.94 = 105.47 : x
  2. Step 2: Convert to fraction form
    321.91/482.94 = 105.47/x
  3. Step 3: Cross multiply
    321.91x = 482.94 × 105.47
  4. Step 4: Simplify right side
    321.91x = 50,936.49
  5. Step 5: Solve for x
    x = 50,936.49/321.91
  6. Step 6: Final answer
    x = 158.23

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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.