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Finding the Fourth Proportional to 213.63, 321.09 and 141.94

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Solution

The fourth proportional to 213.63, 321.09 and 141.94 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 321.09 = 141.94 : x
  2. Step 2: Convert to fraction form
    213.63/321.09 = 141.94/x
  3. Step 3: Cross multiply
    213.63x = 321.09 × 141.94
  4. Step 4: Simplify right side
    213.63x = 45,575.51
  5. Step 5: Solve for x
    x = 45,575.51/213.63
  6. Step 6: Final answer
    x = 213.34

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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.