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Finding the Fourth Proportional to 329.87, 455.09 and 213.50

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Solution

The fourth proportional to 329.87, 455.09 and 213.50 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.87 : 455.09 = 213.50 : x
  2. Step 2: Convert to fraction form
    329.87/455.09 = 213.50/x
  3. Step 3: Cross multiply
    329.87x = 455.09 × 213.50
  4. Step 4: Simplify right side
    329.87x = 97,158.37
  5. Step 5: Solve for x
    x = 97,158.37/329.87
  6. Step 6: Final answer
    x = 294.54

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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.