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Finding the Fourth Proportional to 326.49, 452.79 and 299.16

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Solution

The fourth proportional to 326.49, 452.79 and 299.16 is: 414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.49 : 452.79 = 299.16 : x
  2. Step 2: Convert to fraction form
    326.49/452.79 = 299.16/x
  3. Step 3: Cross multiply
    326.49x = 452.79 × 299.16
  4. Step 4: Simplify right side
    326.49x = 135,456.66
  5. Step 5: Solve for x
    x = 135,456.66/326.49
  6. Step 6: Final answer
    x = 414.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.