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Finding the Fourth Proportional to 325.75, 486.41 and 283.83

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Solution

The fourth proportional to 325.75, 486.41 and 283.83 is: 423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.75 : 486.41 = 283.83 : x
  2. Step 2: Convert to fraction form
    325.75/486.41 = 283.83/x
  3. Step 3: Cross multiply
    325.75x = 486.41 × 283.83
  4. Step 4: Simplify right side
    325.75x = 138,057.75
  5. Step 5: Solve for x
    x = 138,057.75/325.75
  6. Step 6: Final answer
    x = 423.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.