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Finding the Fourth Proportional to 234.24, 349.50 and 208.12

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Solution

The fourth proportional to 234.24, 349.50 and 208.12 is: 310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.24 : 349.50 = 208.12 : x
  2. Step 2: Convert to fraction form
    234.24/349.50 = 208.12/x
  3. Step 3: Cross multiply
    234.24x = 349.50 × 208.12
  4. Step 4: Simplify right side
    234.24x = 72,737.94
  5. Step 5: Solve for x
    x = 72,737.94/234.24
  6. Step 6: Final answer
    x = 310.53

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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.