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Finding the Fourth Proportional to 185.25, 276.24 and 180.39

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Solution

The fourth proportional to 185.25, 276.24 and 180.39 is: 268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 276.24 = 180.39 : x
  2. Step 2: Convert to fraction form
    185.25/276.24 = 180.39/x
  3. Step 3: Cross multiply
    185.25x = 276.24 × 180.39
  4. Step 4: Simplify right side
    185.25x = 49,830.93
  5. Step 5: Solve for x
    x = 49,830.93/185.25
  6. Step 6: Final answer
    x = 268.99

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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.