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Finding the Fourth Proportional to 220.25, 303.78 and 185.47

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Solution

The fourth proportional to 220.25, 303.78 and 185.47 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.25 : 303.78 = 185.47 : x
  2. Step 2: Convert to fraction form
    220.25/303.78 = 185.47/x
  3. Step 3: Cross multiply
    220.25x = 303.78 × 185.47
  4. Step 4: Simplify right side
    220.25x = 56,340.56
  5. Step 5: Solve for x
    x = 56,340.56/220.25
  6. Step 6: Final answer
    x = 255.80

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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.