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Finding the Fourth Proportional to 217.72, 325 and 190.39

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Solution

The fourth proportional to 217.72, 325 and 190.39 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.72 : 325 = 190.39 : x
  2. Step 2: Convert to fraction form
    217.72/325 = 190.39/x
  3. Step 3: Cross multiply
    217.72x = 325 × 190.39
  4. Step 4: Simplify right side
    217.72x = 61,876.75
  5. Step 5: Solve for x
    x = 61,876.75/217.72
  6. Step 6: Final answer
    x = 284.20

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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.