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Finding the Fourth Proportional to 322.58, 481.16 and 270.62

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Solution

The fourth proportional to 322.58, 481.16 and 270.62 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.58 : 481.16 = 270.62 : x
  2. Step 2: Convert to fraction form
    322.58/481.16 = 270.62/x
  3. Step 3: Cross multiply
    322.58x = 481.16 × 270.62
  4. Step 4: Simplify right side
    322.58x = 130,211.52
  5. Step 5: Solve for x
    x = 130,211.52/322.58
  6. Step 6: Final answer
    x = 403.66

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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.