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Finding the Fourth Proportional to 179.68, 268.96 and 146.88

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Solution

The fourth proportional to 179.68, 268.96 and 146.88 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.68 : 268.96 = 146.88 : x
  2. Step 2: Convert to fraction form
    179.68/268.96 = 146.88/x
  3. Step 3: Cross multiply
    179.68x = 268.96 × 146.88
  4. Step 4: Simplify right side
    179.68x = 39,504.84
  5. Step 5: Solve for x
    x = 39,504.84/179.68
  6. Step 6: Final answer
    x = 219.86

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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.