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Finding the Fourth Proportional to 185.84, 255.30 and 166.43

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Solution

The fourth proportional to 185.84, 255.30 and 166.43 is: 228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 255.30 = 166.43 : x
  2. Step 2: Convert to fraction form
    185.84/255.30 = 166.43/x
  3. Step 3: Cross multiply
    185.84x = 255.30 × 166.43
  4. Step 4: Simplify right side
    185.84x = 42,488.30
  5. Step 5: Solve for x
    x = 42,488.30/185.84
  6. Step 6: Final answer
    x = 228.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.