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Finding the Fourth Proportional to 322.09, 482.55 and 267.82

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Solution

The fourth proportional to 322.09, 482.55 and 267.82 is: 401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.09 : 482.55 = 267.82 : x
  2. Step 2: Convert to fraction form
    322.09/482.55 = 267.82/x
  3. Step 3: Cross multiply
    322.09x = 482.55 × 267.82
  4. Step 4: Simplify right side
    322.09x = 129,236.54
  5. Step 5: Solve for x
    x = 129,236.54/322.09
  6. Step 6: Final answer
    x = 401.24

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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.