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Finding the Fourth Proportional to 321.12, 440.62 and 318.06

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Solution

The fourth proportional to 321.12, 440.62 and 318.06 is: 436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.12 : 440.62 = 318.06 : x
  2. Step 2: Convert to fraction form
    321.12/440.62 = 318.06/x
  3. Step 3: Cross multiply
    321.12x = 440.62 × 318.06
  4. Step 4: Simplify right side
    321.12x = 140,143.60
  5. Step 5: Solve for x
    x = 140,143.60/321.12
  6. Step 6: Final answer
    x = 436.42

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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.