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Finding the Fourth Proportional to 321.40, 480.93 and 223.42

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Solution

The fourth proportional to 321.40, 480.93 and 223.42 is: 334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.40 : 480.93 = 223.42 : x
  2. Step 2: Convert to fraction form
    321.40/480.93 = 223.42/x
  3. Step 3: Cross multiply
    321.40x = 480.93 × 223.42
  4. Step 4: Simplify right side
    321.40x = 107,449.38
  5. Step 5: Solve for x
    x = 107,449.38/321.40
  6. Step 6: Final answer
    x = 334.32

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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.