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Finding the Fourth Proportional to 321.59, 484.20 and 283.32

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Solution

The fourth proportional to 321.59, 484.20 and 283.32 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.59 : 484.20 = 283.32 : x
  2. Step 2: Convert to fraction form
    321.59/484.20 = 283.32/x
  3. Step 3: Cross multiply
    321.59x = 484.20 × 283.32
  4. Step 4: Simplify right side
    321.59x = 137,183.54
  5. Step 5: Solve for x
    x = 137,183.54/321.59
  6. Step 6: Final answer
    x = 426.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.