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Finding the Fourth Proportional to 322.57, 481.82 and 268.50

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Solution

The fourth proportional to 322.57, 481.82 and 268.50 is: 401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.57 : 481.82 = 268.50 : x
  2. Step 2: Convert to fraction form
    322.57/481.82 = 268.50/x
  3. Step 3: Cross multiply
    322.57x = 481.82 × 268.50
  4. Step 4: Simplify right side
    322.57x = 129,368.67
  5. Step 5: Solve for x
    x = 129,368.67/322.57
  6. Step 6: Final answer
    x = 401.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.