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Finding the Fourth Proportional to 179.65, 248.03 and 120.75

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Solution

The fourth proportional to 179.65, 248.03 and 120.75 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.65 : 248.03 = 120.75 : x
  2. Step 2: Convert to fraction form
    179.65/248.03 = 120.75/x
  3. Step 3: Cross multiply
    179.65x = 248.03 × 120.75
  4. Step 4: Simplify right side
    179.65x = 29,947.78
  5. Step 5: Solve for x
    x = 29,947.78/179.65
  6. Step 6: Final answer
    x = 166.70

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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.