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Finding the Fourth Proportional to 326.50, 450.43 and 202.12

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Solution

The fourth proportional to 326.50, 450.43 and 202.12 is: 278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 450.43 = 202.12 : x
  2. Step 2: Convert to fraction form
    326.50/450.43 = 202.12/x
  3. Step 3: Cross multiply
    326.50x = 450.43 × 202.12
  4. Step 4: Simplify right side
    326.50x = 91,040.91
  5. Step 5: Solve for x
    x = 91,040.91/326.50
  6. Step 6: Final answer
    x = 278.84

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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.