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Finding the Fourth Proportional to 327.88, 452.26 and 301.76

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Solution

The fourth proportional to 327.88, 452.26 and 301.76 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 452.26 = 301.76 : x
  2. Step 2: Convert to fraction form
    327.88/452.26 = 301.76/x
  3. Step 3: Cross multiply
    327.88x = 452.26 × 301.76
  4. Step 4: Simplify right side
    327.88x = 136,473.98
  5. Step 5: Solve for x
    x = 136,473.98/327.88
  6. Step 6: Final answer
    x = 416.23

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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.