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Finding the Fourth Proportional to 321.96, 483.53 and 200.46

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Solution

The fourth proportional to 321.96, 483.53 and 200.46 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 483.53 = 200.46 : x
  2. Step 2: Convert to fraction form
    321.96/483.53 = 200.46/x
  3. Step 3: Cross multiply
    321.96x = 483.53 × 200.46
  4. Step 4: Simplify right side
    321.96x = 96,927.42
  5. Step 5: Solve for x
    x = 96,927.42/321.96
  6. Step 6: Final answer
    x = 301.05

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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.