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Finding the Fourth Proportional to 219.60, 327.69 and 190.44

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Solution

The fourth proportional to 219.60, 327.69 and 190.44 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.60 : 327.69 = 190.44 : x
  2. Step 2: Convert to fraction form
    219.60/327.69 = 190.44/x
  3. Step 3: Cross multiply
    219.60x = 327.69 × 190.44
  4. Step 4: Simplify right side
    219.60x = 62,403.17
  5. Step 5: Solve for x
    x = 62,403.17/219.60
  6. Step 6: Final answer
    x = 284.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.