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Finding the Fourth Proportional to 329.09, 453.71 and 269.86

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Solution

The fourth proportional to 329.09, 453.71 and 269.86 is: 372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.09 : 453.71 = 269.86 : x
  2. Step 2: Convert to fraction form
    329.09/453.71 = 269.86/x
  3. Step 3: Cross multiply
    329.09x = 453.71 × 269.86
  4. Step 4: Simplify right side
    329.09x = 122,438.18
  5. Step 5: Solve for x
    x = 122,438.18/329.09
  6. Step 6: Final answer
    x = 372.05

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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.