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Finding the Fourth Proportional to 328.96, 451.93 and 294.44

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Solution

The fourth proportional to 328.96, 451.93 and 294.44 is: 404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.96 : 451.93 = 294.44 : x
  2. Step 2: Convert to fraction form
    328.96/451.93 = 294.44/x
  3. Step 3: Cross multiply
    328.96x = 451.93 × 294.44
  4. Step 4: Simplify right side
    328.96x = 133,067.01
  5. Step 5: Solve for x
    x = 133,067.01/328.96
  6. Step 6: Final answer
    x = 404.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.