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Finding the Fourth Proportional to 219.97, 329.77 and 151.63

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Solution

The fourth proportional to 219.97, 329.77 and 151.63 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.97 : 329.77 = 151.63 : x
  2. Step 2: Convert to fraction form
    219.97/329.77 = 151.63/x
  3. Step 3: Cross multiply
    219.97x = 329.77 × 151.63
  4. Step 4: Simplify right side
    219.97x = 50,003.03
  5. Step 5: Solve for x
    x = 50,003.03/219.97
  6. Step 6: Final answer
    x = 227.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.