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Finding the Fourth Proportional to 321.70, 482.19 and 249.38

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Solution

The fourth proportional to 321.70, 482.19 and 249.38 is: 373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.70 : 482.19 = 249.38 : x
  2. Step 2: Convert to fraction form
    321.70/482.19 = 249.38/x
  3. Step 3: Cross multiply
    321.70x = 482.19 × 249.38
  4. Step 4: Simplify right side
    321.70x = 120,248.54
  5. Step 5: Solve for x
    x = 120,248.54/321.70
  6. Step 6: Final answer
    x = 373.79

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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.