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Finding the Fourth Proportional to 234.87, 352.54 and 137.46

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Solution

The fourth proportional to 234.87, 352.54 and 137.46 is: 206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.87 : 352.54 = 137.46 : x
  2. Step 2: Convert to fraction form
    234.87/352.54 = 137.46/x
  3. Step 3: Cross multiply
    234.87x = 352.54 × 137.46
  4. Step 4: Simplify right side
    234.87x = 48,461.64
  5. Step 5: Solve for x
    x = 48,461.64/234.87
  6. Step 6: Final answer
    x = 206.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.