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Finding the Fourth Proportional to 354, 485.82 and 321.18

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Solution

The fourth proportional to 354, 485.82 and 321.18 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354 : 485.82 = 321.18 : x
  2. Step 2: Convert to fraction form
    354/485.82 = 321.18/x
  3. Step 3: Cross multiply
    354x = 485.82 × 321.18
  4. Step 4: Simplify right side
    354x = 156,035.67
  5. Step 5: Solve for x
    x = 156,035.67/354
  6. Step 6: Final answer
    x = 440.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.