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Finding the Fourth Proportional to 327.70, 452.74 and 301.78

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Solution

The fourth proportional to 327.70, 452.74 and 301.78 is: 416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.70 : 452.74 = 301.78 : x
  2. Step 2: Convert to fraction form
    327.70/452.74 = 301.78/x
  3. Step 3: Cross multiply
    327.70x = 452.74 × 301.78
  4. Step 4: Simplify right side
    327.70x = 136,627.88
  5. Step 5: Solve for x
    x = 136,627.88/327.70
  6. Step 6: Final answer
    x = 416.93

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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.