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Finding the Fourth Proportional to 329.16, 495.97 and 272.65

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Solution

The fourth proportional to 329.16, 495.97 and 272.65 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.16 : 495.97 = 272.65 : x
  2. Step 2: Convert to fraction form
    329.16/495.97 = 272.65/x
  3. Step 3: Cross multiply
    329.16x = 495.97 × 272.65
  4. Step 4: Simplify right side
    329.16x = 135,226.22
  5. Step 5: Solve for x
    x = 135,226.22/329.16
  6. Step 6: Final answer
    x = 410.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.