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Finding the Fourth Proportional to 326.40, 449.46 and 279.42

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Solution

The fourth proportional to 326.40, 449.46 and 279.42 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 449.46 = 279.42 : x
  2. Step 2: Convert to fraction form
    326.40/449.46 = 279.42/x
  3. Step 3: Cross multiply
    326.40x = 449.46 × 279.42
  4. Step 4: Simplify right side
    326.40x = 125,588.11
  5. Step 5: Solve for x
    x = 125,588.11/326.40
  6. Step 6: Final answer
    x = 384.77

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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.