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Finding the Fourth Proportional to 213.79, 320.96 and 144.61

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Solution

The fourth proportional to 213.79, 320.96 and 144.61 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.79 : 320.96 = 144.61 : x
  2. Step 2: Convert to fraction form
    213.79/320.96 = 144.61/x
  3. Step 3: Cross multiply
    213.79x = 320.96 × 144.61
  4. Step 4: Simplify right side
    213.79x = 46,414.03
  5. Step 5: Solve for x
    x = 46,414.03/213.79
  6. Step 6: Final answer
    x = 217.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.