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Finding the Fourth Proportional to 328.78, 495.39 and 272.26

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Solution

The fourth proportional to 328.78, 495.39 and 272.26 is: 410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 495.39 = 272.26 : x
  2. Step 2: Convert to fraction form
    328.78/495.39 = 272.26/x
  3. Step 3: Cross multiply
    328.78x = 495.39 × 272.26
  4. Step 4: Simplify right side
    328.78x = 134,874.88
  5. Step 5: Solve for x
    x = 134,874.88/328.78
  6. Step 6: Final answer
    x = 410.23

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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.