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Finding the Fourth Proportional to 179.08, 268.78 and 96.88

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Solution

The fourth proportional to 179.08, 268.78 and 96.88 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.08 : 268.78 = 96.88 : x
  2. Step 2: Convert to fraction form
    179.08/268.78 = 96.88/x
  3. Step 3: Cross multiply
    179.08x = 268.78 × 96.88
  4. Step 4: Simplify right side
    179.08x = 26,039.41
  5. Step 5: Solve for x
    x = 26,039.41/179.08
  6. Step 6: Final answer
    x = 145.41

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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.