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Finding the Fourth Proportional to 234.22, 349.84 and 227.74

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Solution

The fourth proportional to 234.22, 349.84 and 227.74 is: 340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.22 : 349.84 = 227.74 : x
  2. Step 2: Convert to fraction form
    234.22/349.84 = 227.74/x
  3. Step 3: Cross multiply
    234.22x = 349.84 × 227.74
  4. Step 4: Simplify right side
    234.22x = 79,670.81
  5. Step 5: Solve for x
    x = 79,670.81/234.22
  6. Step 6: Final answer
    x = 340.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.