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Finding the Fourth Proportional to 329.28, 452.96 and 324.16

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Solution

The fourth proportional to 329.28, 452.96 and 324.16 is: 445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.28 : 452.96 = 324.16 : x
  2. Step 2: Convert to fraction form
    329.28/452.96 = 324.16/x
  3. Step 3: Cross multiply
    329.28x = 452.96 × 324.16
  4. Step 4: Simplify right side
    329.28x = 146,831.51
  5. Step 5: Solve for x
    x = 146,831.51/329.28
  6. Step 6: Final answer
    x = 445.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.