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Finding the Fourth Proportional to 213.97, 321.08 and 162.93

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Solution

The fourth proportional to 213.97, 321.08 and 162.93 is: 244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.97 : 321.08 = 162.93 : x
  2. Step 2: Convert to fraction form
    213.97/321.08 = 162.93/x
  3. Step 3: Cross multiply
    213.97x = 321.08 × 162.93
  4. Step 4: Simplify right side
    213.97x = 52,313.56
  5. Step 5: Solve for x
    x = 52,313.56/213.97
  6. Step 6: Final answer
    x = 244.49

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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.