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Finding the Fourth Proportional to 326.37, 450.39 and 202

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Solution

The fourth proportional to 326.37, 450.39 and 202 is: 278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.37 : 450.39 = 202 : x
  2. Step 2: Convert to fraction form
    326.37/450.39 = 202/x
  3. Step 3: Cross multiply
    326.37x = 450.39 × 202
  4. Step 4: Simplify right side
    326.37x = 90,978.78
  5. Step 5: Solve for x
    x = 90,978.78/326.37
  6. Step 6: Final answer
    x = 278.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.