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Finding the Fourth Proportional to 321.90, 440.37 and 320.52

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Solution

The fourth proportional to 321.90, 440.37 and 320.52 is: 438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.90 : 440.37 = 320.52 : x
  2. Step 2: Convert to fraction form
    321.90/440.37 = 320.52/x
  3. Step 3: Cross multiply
    321.90x = 440.37 × 320.52
  4. Step 4: Simplify right side
    321.90x = 141,147.39
  5. Step 5: Solve for x
    x = 141,147.39/321.90
  6. Step 6: Final answer
    x = 438.48

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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.