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Finding the Fourth Proportional to 179.08, 246.98 and 109.96

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Solution

The fourth proportional to 179.08, 246.98 and 109.96 is: 151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.08 : 246.98 = 109.96 : x
  2. Step 2: Convert to fraction form
    179.08/246.98 = 109.96/x
  3. Step 3: Cross multiply
    179.08x = 246.98 × 109.96
  4. Step 4: Simplify right side
    179.08x = 27,157.92
  5. Step 5: Solve for x
    x = 27,157.92/179.08
  6. Step 6: Final answer
    x = 151.65

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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.