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Finding the Fourth Proportional to 185.63, 276.91 and 179.91

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Solution

The fourth proportional to 185.63, 276.91 and 179.91 is: 268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.63 : 276.91 = 179.91 : x
  2. Step 2: Convert to fraction form
    185.63/276.91 = 179.91/x
  3. Step 3: Cross multiply
    185.63x = 276.91 × 179.91
  4. Step 4: Simplify right side
    185.63x = 49,818.43
  5. Step 5: Solve for x
    x = 49,818.43/185.63
  6. Step 6: Final answer
    x = 268.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.