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Finding the Fourth Proportional to 262.72, 362.38 and 179.68

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Solution

The fourth proportional to 262.72, 362.38 and 179.68 is: 247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.72 : 362.38 = 179.68 : x
  2. Step 2: Convert to fraction form
    262.72/362.38 = 179.68/x
  3. Step 3: Cross multiply
    262.72x = 362.38 × 179.68
  4. Step 4: Simplify right side
    262.72x = 65,112.44
  5. Step 5: Solve for x
    x = 65,112.44/262.72
  6. Step 6: Final answer
    x = 247.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.