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Finding the Fourth Proportional to 484.12, 726.36 and 321.40

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Solution

The fourth proportional to 484.12, 726.36 and 321.40 is: 482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.12 : 726.36 = 321.40 : x
  2. Step 2: Convert to fraction form
    484.12/726.36 = 321.40/x
  3. Step 3: Cross multiply
    484.12x = 726.36 × 321.40
  4. Step 4: Simplify right side
    484.12x = 233,452.10
  5. Step 5: Solve for x
    x = 233,452.10/484.12
  6. Step 6: Final answer
    x = 482.22

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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.