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Finding the Fourth Proportional to 179.04, 246.96 and 123.84

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Solution

The fourth proportional to 179.04, 246.96 and 123.84 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.04 : 246.96 = 123.84 : x
  2. Step 2: Convert to fraction form
    179.04/246.96 = 123.84/x
  3. Step 3: Cross multiply
    179.04x = 246.96 × 123.84
  4. Step 4: Simplify right side
    179.04x = 30,583.53
  5. Step 5: Solve for x
    x = 30,583.53/179.04
  6. Step 6: Final answer
    x = 170.82

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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.