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Finding the Fourth Proportional to 217.96, 325.34 and 217.40

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Solution

The fourth proportional to 217.96, 325.34 and 217.40 is: 324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.96 : 325.34 = 217.40 : x
  2. Step 2: Convert to fraction form
    217.96/325.34 = 217.40/x
  3. Step 3: Cross multiply
    217.96x = 325.34 × 217.40
  4. Step 4: Simplify right side
    217.96x = 70,728.92
  5. Step 5: Solve for x
    x = 70,728.92/217.96
  6. Step 6: Final answer
    x = 324.50

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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.