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Finding the Fourth Proportional to 217.92, 324.62 and 208.10

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Solution

The fourth proportional to 217.92, 324.62 and 208.10 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.92 : 324.62 = 208.10 : x
  2. Step 2: Convert to fraction form
    217.92/324.62 = 208.10/x
  3. Step 3: Cross multiply
    217.92x = 324.62 × 208.10
  4. Step 4: Simplify right side
    217.92x = 67,550.76
  5. Step 5: Solve for x
    x = 67,550.76/217.92
  6. Step 6: Final answer
    x = 309.98

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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.