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Finding the Fourth Proportional to 213.83, 321.18 and 140.93

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Solution

The fourth proportional to 213.83, 321.18 and 140.93 is: 211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.83 : 321.18 = 140.93 : x
  2. Step 2: Convert to fraction form
    213.83/321.18 = 140.93/x
  3. Step 3: Cross multiply
    213.83x = 321.18 × 140.93
  4. Step 4: Simplify right side
    213.83x = 45,263.90
  5. Step 5: Solve for x
    x = 45,263.90/213.83
  6. Step 6: Final answer
    x = 211.68

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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.