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Finding the Fourth Proportional to 329.63, 454.61 and 205.16

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Solution

The fourth proportional to 329.63, 454.61 and 205.16 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.63 : 454.61 = 205.16 : x
  2. Step 2: Convert to fraction form
    329.63/454.61 = 205.16/x
  3. Step 3: Cross multiply
    329.63x = 454.61 × 205.16
  4. Step 4: Simplify right side
    329.63x = 93,266.76
  5. Step 5: Solve for x
    x = 93,266.76/329.63
  6. Step 6: Final answer
    x = 282.94

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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.