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Finding the Fourth Proportional to 541.43, 811.02 and 321.38

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Solution

The fourth proportional to 541.43, 811.02 and 321.38 is: 481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.43 : 811.02 = 321.38 : x
  2. Step 2: Convert to fraction form
    541.43/811.02 = 321.38/x
  3. Step 3: Cross multiply
    541.43x = 811.02 × 321.38
  4. Step 4: Simplify right side
    541.43x = 260,645.80
  5. Step 5: Solve for x
    x = 260,645.80/541.43
  6. Step 6: Final answer
    x = 481.40

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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.