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Finding the Fourth Proportional to 205.45, 284.25 and 179.65

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Solution

The fourth proportional to 205.45, 284.25 and 179.65 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 284.25 = 179.65 : x
  2. Step 2: Convert to fraction form
    205.45/284.25 = 179.65/x
  3. Step 3: Cross multiply
    205.45x = 284.25 × 179.65
  4. Step 4: Simplify right side
    205.45x = 51,065.51
  5. Step 5: Solve for x
    x = 51,065.51/205.45
  6. Step 6: Final answer
    x = 248.55

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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.