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Finding the Fourth Proportional to 329.54, 448.67 and 328.51

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Solution

The fourth proportional to 329.54, 448.67 and 328.51 is: 447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.54 : 448.67 = 328.51 : x
  2. Step 2: Convert to fraction form
    329.54/448.67 = 328.51/x
  3. Step 3: Cross multiply
    329.54x = 448.67 × 328.51
  4. Step 4: Simplify right side
    329.54x = 147,392.73
  5. Step 5: Solve for x
    x = 147,392.73/329.54
  6. Step 6: Final answer
    x = 447.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.