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Finding the Fourth Proportional to 251.94, 378.09 and 165.27

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Solution

The fourth proportional to 251.94, 378.09 and 165.27 is: 248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.94 : 378.09 = 165.27 : x
  2. Step 2: Convert to fraction form
    251.94/378.09 = 165.27/x
  3. Step 3: Cross multiply
    251.94x = 378.09 × 165.27
  4. Step 4: Simplify right side
    251.94x = 62,486.93
  5. Step 5: Solve for x
    x = 62,486.93/251.94
  6. Step 6: Final answer
    x = 248.02

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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.