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Finding the Fourth Proportional to 322.32, 481.60 and 263.84

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Solution

The fourth proportional to 322.32, 481.60 and 263.84 is: 394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.32 : 481.60 = 263.84 : x
  2. Step 2: Convert to fraction form
    322.32/481.60 = 263.84/x
  3. Step 3: Cross multiply
    322.32x = 481.60 × 263.84
  4. Step 4: Simplify right side
    322.32x = 127,065.34
  5. Step 5: Solve for x
    x = 127,065.34/322.32
  6. Step 6: Final answer
    x = 394.22

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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.