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Finding the Fourth Proportional to 213.94, 321.54 and 142.30

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Solution

The fourth proportional to 213.94, 321.54 and 142.30 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 321.54 = 142.30 : x
  2. Step 2: Convert to fraction form
    213.94/321.54 = 142.30/x
  3. Step 3: Cross multiply
    213.94x = 321.54 × 142.30
  4. Step 4: Simplify right side
    213.94x = 45,755.14
  5. Step 5: Solve for x
    x = 45,755.14/213.94
  6. Step 6: Final answer
    x = 213.87

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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.