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Finding the Fourth Proportional to 326.17, 449.62 and 267.85

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Solution

The fourth proportional to 326.17, 449.62 and 267.85 is: 369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.17 : 449.62 = 267.85 : x
  2. Step 2: Convert to fraction form
    326.17/449.62 = 267.85/x
  3. Step 3: Cross multiply
    326.17x = 449.62 × 267.85
  4. Step 4: Simplify right side
    326.17x = 120,430.72
  5. Step 5: Solve for x
    x = 120,430.72/326.17
  6. Step 6: Final answer
    x = 369.23

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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.