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Finding the Fourth Proportional to 234.54, 350.22 and 187.62

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Solution

The fourth proportional to 234.54, 350.22 and 187.62 is: 280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 350.22 = 187.62 : x
  2. Step 2: Convert to fraction form
    234.54/350.22 = 187.62/x
  3. Step 3: Cross multiply
    234.54x = 350.22 × 187.62
  4. Step 4: Simplify right side
    234.54x = 65,706.53
  5. Step 5: Solve for x
    x = 65,706.53/234.54
  6. Step 6: Final answer
    x = 280.15

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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.