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Finding the Fourth Proportional to 321.80, 482.78 and 105.38

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Solution

The fourth proportional to 321.80, 482.78 and 105.38 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.80 : 482.78 = 105.38 : x
  2. Step 2: Convert to fraction form
    321.80/482.78 = 105.38/x
  3. Step 3: Cross multiply
    321.80x = 482.78 × 105.38
  4. Step 4: Simplify right side
    321.80x = 50,872.42
  5. Step 5: Solve for x
    x = 50,872.42/321.80
  6. Step 6: Final answer
    x = 158.09

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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.