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Finding the Fourth Proportional to 329.12, 453.88 and 210.96

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Solution

The fourth proportional to 329.12, 453.88 and 210.96 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.12 : 453.88 = 210.96 : x
  2. Step 2: Convert to fraction form
    329.12/453.88 = 210.96/x
  3. Step 3: Cross multiply
    329.12x = 453.88 × 210.96
  4. Step 4: Simplify right side
    329.12x = 95,750.52
  5. Step 5: Solve for x
    x = 95,750.52/329.12
  6. Step 6: Final answer
    x = 290.93

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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.