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Finding the Fourth Proportional to 321.42, 480.30 and 243.96

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Solution

The fourth proportional to 321.42, 480.30 and 243.96 is: 364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.42 : 480.30 = 243.96 : x
  2. Step 2: Convert to fraction form
    321.42/480.30 = 243.96/x
  3. Step 3: Cross multiply
    321.42x = 480.30 × 243.96
  4. Step 4: Simplify right side
    321.42x = 117,173.99
  5. Step 5: Solve for x
    x = 117,173.99/321.42
  6. Step 6: Final answer
    x = 364.55

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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.