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Finding the Fourth Proportional to 185.68, 280.05 and 183.62

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Solution

The fourth proportional to 185.68, 280.05 and 183.62 is: 276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.68 : 280.05 = 183.62 : x
  2. Step 2: Convert to fraction form
    185.68/280.05 = 183.62/x
  3. Step 3: Cross multiply
    185.68x = 280.05 × 183.62
  4. Step 4: Simplify right side
    185.68x = 51,422.78
  5. Step 5: Solve for x
    x = 51,422.78/185.68
  6. Step 6: Final answer
    x = 276.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.