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Finding the Fourth Proportional to 328.84, 453.37 and 269.61

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Solution

The fourth proportional to 328.84, 453.37 and 269.61 is: 371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 453.37 = 269.61 : x
  2. Step 2: Convert to fraction form
    328.84/453.37 = 269.61/x
  3. Step 3: Cross multiply
    328.84x = 453.37 × 269.61
  4. Step 4: Simplify right side
    328.84x = 122,233.09
  5. Step 5: Solve for x
    x = 122,233.09/328.84
  6. Step 6: Final answer
    x = 371.71

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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.