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Finding the Fourth Proportional to 185.45, 276.84 and 161.06

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Solution

The fourth proportional to 185.45, 276.84 and 161.06 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.45 : 276.84 = 161.06 : x
  2. Step 2: Convert to fraction form
    185.45/276.84 = 161.06/x
  3. Step 3: Cross multiply
    185.45x = 276.84 × 161.06
  4. Step 4: Simplify right side
    185.45x = 44,586.47
  5. Step 5: Solve for x
    x = 44,586.47/185.45
  6. Step 6: Final answer
    x = 240.43

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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.