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Finding the Fourth Proportional to 321.92, 482.82 and 126.87

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Solution

The fourth proportional to 321.92, 482.82 and 126.87 is: 190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.92 : 482.82 = 126.87 : x
  2. Step 2: Convert to fraction form
    321.92/482.82 = 126.87/x
  3. Step 3: Cross multiply
    321.92x = 482.82 × 126.87
  4. Step 4: Simplify right side
    321.92x = 61,253.09
  5. Step 5: Solve for x
    x = 61,253.09/321.92
  6. Step 6: Final answer
    x = 190.27

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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.