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Finding the Fourth Proportional to 182.44, 251.98 and 149.80

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Solution

The fourth proportional to 182.44, 251.98 and 149.80 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.44 : 251.98 = 149.80 : x
  2. Step 2: Convert to fraction form
    182.44/251.98 = 149.80/x
  3. Step 3: Cross multiply
    182.44x = 251.98 × 149.80
  4. Step 4: Simplify right side
    182.44x = 37,746.60
  5. Step 5: Solve for x
    x = 37,746.60/182.44
  6. Step 6: Final answer
    x = 206.90

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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.