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Finding the Fourth Proportional to 251.31, 378.32 and 179.67

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Solution

The fourth proportional to 251.31, 378.32 and 179.67 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.31 : 378.32 = 179.67 : x
  2. Step 2: Convert to fraction form
    251.31/378.32 = 179.67/x
  3. Step 3: Cross multiply
    251.31x = 378.32 × 179.67
  4. Step 4: Simplify right side
    251.31x = 67,973.20
  5. Step 5: Solve for x
    x = 67,973.20/251.31
  6. Step 6: Final answer
    x = 270.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.