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Finding the Fourth Proportional to 179.10, 269.80 and 154.80

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Solution

The fourth proportional to 179.10, 269.80 and 154.80 is: 233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.10 : 269.80 = 154.80 : x
  2. Step 2: Convert to fraction form
    179.10/269.80 = 154.80/x
  3. Step 3: Cross multiply
    179.10x = 269.80 × 154.80
  4. Step 4: Simplify right side
    179.10x = 41,764.65
  5. Step 5: Solve for x
    x = 41,764.65/179.10
  6. Step 6: Final answer
    x = 233.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.