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Finding the Fourth Proportional to 344.36, 513.64 and 321.68

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Solution

The fourth proportional to 344.36, 513.64 and 321.68 is: 479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.36 : 513.64 = 321.68 : x
  2. Step 2: Convert to fraction form
    344.36/513.64 = 321.68/x
  3. Step 3: Cross multiply
    344.36x = 513.64 × 321.68
  4. Step 4: Simplify right side
    344.36x = 165,227.72
  5. Step 5: Solve for x
    x = 165,227.72/344.36
  6. Step 6: Final answer
    x = 479.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.