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Finding the Fourth Proportional to 326.02, 449.90 and 178.66

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Solution

The fourth proportional to 326.02, 449.90 and 178.66 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.02 : 449.90 = 178.66 : x
  2. Step 2: Convert to fraction form
    326.02/449.90 = 178.66/x
  3. Step 3: Cross multiply
    326.02x = 449.90 × 178.66
  4. Step 4: Simplify right side
    326.02x = 80,379.13
  5. Step 5: Solve for x
    x = 80,379.13/326.02
  6. Step 6: Final answer
    x = 246.55

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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.