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Finding the Fourth Proportional to 234.25, 348.39 and 229.64

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Solution

The fourth proportional to 234.25, 348.39 and 229.64 is: 341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.25 : 348.39 = 229.64 : x
  2. Step 2: Convert to fraction form
    234.25/348.39 = 229.64/x
  3. Step 3: Cross multiply
    234.25x = 348.39 × 229.64
  4. Step 4: Simplify right side
    234.25x = 80,003.71
  5. Step 5: Solve for x
    x = 80,003.71/234.25
  6. Step 6: Final answer
    x = 341.53

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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.