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Finding the Fourth Proportional to 205.94, 284.74 and 179.99

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Solution

The fourth proportional to 205.94, 284.74 and 179.99 is: 248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 284.74 = 179.99 : x
  2. Step 2: Convert to fraction form
    205.94/284.74 = 179.99/x
  3. Step 3: Cross multiply
    205.94x = 284.74 × 179.99
  4. Step 4: Simplify right side
    205.94x = 51,250.61
  5. Step 5: Solve for x
    x = 51,250.61/205.94
  6. Step 6: Final answer
    x = 248.87

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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.