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Finding the Fourth Proportional to 329.01, 452.69 and 269.78

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Solution

The fourth proportional to 329.01, 452.69 and 269.78 is: 371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.01 : 452.69 = 269.78 : x
  2. Step 2: Convert to fraction form
    329.01/452.69 = 269.78/x
  3. Step 3: Cross multiply
    329.01x = 452.69 × 269.78
  4. Step 4: Simplify right side
    329.01x = 122,126.71
  5. Step 5: Solve for x
    x = 122,126.71/329.01
  6. Step 6: Final answer
    x = 371.19

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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.