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Finding the Fourth Proportional to 326.21, 450.17 and 178.84

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Solution

The fourth proportional to 326.21, 450.17 and 178.84 is: 246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.21 : 450.17 = 178.84 : x
  2. Step 2: Convert to fraction form
    326.21/450.17 = 178.84/x
  3. Step 3: Cross multiply
    326.21x = 450.17 × 178.84
  4. Step 4: Simplify right side
    326.21x = 80,506.84
  5. Step 5: Solve for x
    x = 80,506.84/326.21
  6. Step 6: Final answer
    x = 246.80

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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.