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Finding the Fourth Proportional to 182.43, 251.97 and 149.79

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Solution

The fourth proportional to 182.43, 251.97 and 149.79 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.43 : 251.97 = 149.79 : x
  2. Step 2: Convert to fraction form
    182.43/251.97 = 149.79/x
  3. Step 3: Cross multiply
    182.43x = 251.97 × 149.79
  4. Step 4: Simplify right side
    182.43x = 37,742.59
  5. Step 5: Solve for x
    x = 37,742.59/182.43
  6. Step 6: Final answer
    x = 206.89

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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.