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Finding the Fourth Proportional to 213.05, 293.77 and 185.17

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Solution

The fourth proportional to 213.05, 293.77 and 185.17 is: 255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 293.77 = 185.17 : x
  2. Step 2: Convert to fraction form
    213.05/293.77 = 185.17/x
  3. Step 3: Cross multiply
    213.05x = 293.77 × 185.17
  4. Step 4: Simplify right side
    213.05x = 54,396.66
  5. Step 5: Solve for x
    x = 54,396.66/213.05
  6. Step 6: Final answer
    x = 255.33

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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.