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Finding the Fourth Proportional to 179.30, 269.05 and 138.80

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Solution

The fourth proportional to 179.30, 269.05 and 138.80 is: 208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.30 : 269.05 = 138.80 : x
  2. Step 2: Convert to fraction form
    179.30/269.05 = 138.80/x
  3. Step 3: Cross multiply
    179.30x = 269.05 × 138.80
  4. Step 4: Simplify right side
    179.30x = 37,344.14
  5. Step 5: Solve for x
    x = 37,344.14/179.30
  6. Step 6: Final answer
    x = 208.28

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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.