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Finding the Fourth Proportional to 322.79, 481.75 and 295.25

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Solution

The fourth proportional to 322.79, 481.75 and 295.25 is: 440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 481.75 = 295.25 : x
  2. Step 2: Convert to fraction form
    322.79/481.75 = 295.25/x
  3. Step 3: Cross multiply
    322.79x = 481.75 × 295.25
  4. Step 4: Simplify right side
    322.79x = 142,233.54
  5. Step 5: Solve for x
    x = 142,233.54/322.79
  6. Step 6: Final answer
    x = 440.64

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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.