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Finding the Fourth Proportional to 220.27, 303.69 and 180.78

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Solution

The fourth proportional to 220.27, 303.69 and 180.78 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.27 : 303.69 = 180.78 : x
  2. Step 2: Convert to fraction form
    220.27/303.69 = 180.78/x
  3. Step 3: Cross multiply
    220.27x = 303.69 × 180.78
  4. Step 4: Simplify right side
    220.27x = 54,900.17
  5. Step 5: Solve for x
    x = 54,900.17/220.27
  6. Step 6: Final answer
    x = 249.25

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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.