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Finding the Fourth Proportional to 251.56, 349 and 249.16

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Solution

The fourth proportional to 251.56, 349 and 249.16 is: 345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.56 : 349 = 249.16 : x
  2. Step 2: Convert to fraction form
    251.56/349 = 249.16/x
  3. Step 3: Cross multiply
    251.56x = 349 × 249.16
  4. Step 4: Simplify right side
    251.56x = 86,956.84
  5. Step 5: Solve for x
    x = 86,956.84/251.56
  6. Step 6: Final answer
    x = 345.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.