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Finding the Fourth Proportional to 205.80, 309.30 and 179.40

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Solution

The fourth proportional to 205.80, 309.30 and 179.40 is: 269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 309.30 = 179.40 : x
  2. Step 2: Convert to fraction form
    205.80/309.30 = 179.40/x
  3. Step 3: Cross multiply
    205.80x = 309.30 × 179.40
  4. Step 4: Simplify right side
    205.80x = 55,488.42
  5. Step 5: Solve for x
    x = 55,488.42/205.80
  6. Step 6: Final answer
    x = 269.62

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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.