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Finding the Fourth Proportional to 251.89, 378.40 and 159.62

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Solution

The fourth proportional to 251.89, 378.40 and 159.62 is: 239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.89 : 378.40 = 159.62 : x
  2. Step 2: Convert to fraction form
    251.89/378.40 = 159.62/x
  3. Step 3: Cross multiply
    251.89x = 378.40 × 159.62
  4. Step 4: Simplify right side
    251.89x = 60,399.41
  5. Step 5: Solve for x
    x = 60,399.41/251.89
  6. Step 6: Final answer
    x = 239.79

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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.