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Finding the Fourth Proportional to 179.81, 249.04 and 168.06

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Solution

The fourth proportional to 179.81, 249.04 and 168.06 is: 232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.81 : 249.04 = 168.06 : x
  2. Step 2: Convert to fraction form
    179.81/249.04 = 168.06/x
  3. Step 3: Cross multiply
    179.81x = 249.04 × 168.06
  4. Step 4: Simplify right side
    179.81x = 41,853.66
  5. Step 5: Solve for x
    x = 41,853.66/179.81
  6. Step 6: Final answer
    x = 232.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.