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Finding the Fourth Proportional to 326.04, 449.16 and 267.72

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Solution

The fourth proportional to 326.04, 449.16 and 267.72 is: 368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.04 : 449.16 = 267.72 : x
  2. Step 2: Convert to fraction form
    326.04/449.16 = 267.72/x
  3. Step 3: Cross multiply
    326.04x = 449.16 × 267.72
  4. Step 4: Simplify right side
    326.04x = 120,249.12
  5. Step 5: Solve for x
    x = 120,249.12/326.04
  6. Step 6: Final answer
    x = 368.82

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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.