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Finding the Fourth Proportional to 329.07, 453.99 and 189.11

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Solution

The fourth proportional to 329.07, 453.99 and 189.11 is: 260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.07 : 453.99 = 189.11 : x
  2. Step 2: Convert to fraction form
    329.07/453.99 = 189.11/x
  3. Step 3: Cross multiply
    329.07x = 453.99 × 189.11
  4. Step 4: Simplify right side
    329.07x = 85,855.18
  5. Step 5: Solve for x
    x = 85,855.18/329.07
  6. Step 6: Final answer
    x = 260.90

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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.