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Finding the Fourth Proportional to 217.88, 325.12 and 193.60

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Solution

The fourth proportional to 217.88, 325.12 and 193.60 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.88 : 325.12 = 193.60 : x
  2. Step 2: Convert to fraction form
    217.88/325.12 = 193.60/x
  3. Step 3: Cross multiply
    217.88x = 325.12 × 193.60
  4. Step 4: Simplify right side
    217.88x = 62,943.23
  5. Step 5: Solve for x
    x = 62,943.23/217.88
  6. Step 6: Final answer
    x = 288.89

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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.