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Finding the Fourth Proportional to 234.46, 349.43 and 228.70

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Solution

The fourth proportional to 234.46, 349.43 and 228.70 is: 340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.46 : 349.43 = 228.70 : x
  2. Step 2: Convert to fraction form
    234.46/349.43 = 228.70/x
  3. Step 3: Cross multiply
    234.46x = 349.43 × 228.70
  4. Step 4: Simplify right side
    234.46x = 79,914.64
  5. Step 5: Solve for x
    x = 79,914.64/234.46
  6. Step 6: Final answer
    x = 340.85

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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.