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Finding the Fourth Proportional to 179.52, 247.25 and 165.85

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Solution

The fourth proportional to 179.52, 247.25 and 165.85 is: 228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.52 : 247.25 = 165.85 : x
  2. Step 2: Convert to fraction form
    179.52/247.25 = 165.85/x
  3. Step 3: Cross multiply
    179.52x = 247.25 × 165.85
  4. Step 4: Simplify right side
    179.52x = 41,007.29
  5. Step 5: Solve for x
    x = 41,007.29/179.52
  6. Step 6: Final answer
    x = 228.43

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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.