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Finding the Fourth Proportional to 234.20, 322.94 and 199.35

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Solution

The fourth proportional to 234.20, 322.94 and 199.35 is: 274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.20 : 322.94 = 199.35 : x
  2. Step 2: Convert to fraction form
    234.20/322.94 = 199.35/x
  3. Step 3: Cross multiply
    234.20x = 322.94 × 199.35
  4. Step 4: Simplify right side
    234.20x = 64,378.59
  5. Step 5: Solve for x
    x = 64,378.59/234.20
  6. Step 6: Final answer
    x = 274.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.