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Finding the Fourth Proportional to 354.97, 534.31 and 321.43

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Solution

The fourth proportional to 354.97, 534.31 and 321.43 is: 483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.97 : 534.31 = 321.43 : x
  2. Step 2: Convert to fraction form
    354.97/534.31 = 321.43/x
  3. Step 3: Cross multiply
    354.97x = 534.31 × 321.43
  4. Step 4: Simplify right side
    354.97x = 171,743.26
  5. Step 5: Solve for x
    x = 171,743.26/354.97
  6. Step 6: Final answer
    x = 483.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.