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Finding the Fourth Proportional to 329.62, 454.46 and 279.72

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Solution

The fourth proportional to 329.62, 454.46 and 279.72 is: 385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.62 : 454.46 = 279.72 : x
  2. Step 2: Convert to fraction form
    329.62/454.46 = 279.72/x
  3. Step 3: Cross multiply
    329.62x = 454.46 × 279.72
  4. Step 4: Simplify right side
    329.62x = 127,121.55
  5. Step 5: Solve for x
    x = 127,121.55/329.62
  6. Step 6: Final answer
    x = 385.66

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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.