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Finding the Fourth Proportional to 217.58, 324.33 and 208.46

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Solution

The fourth proportional to 217.58, 324.33 and 208.46 is: 310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.58 : 324.33 = 208.46 : x
  2. Step 2: Convert to fraction form
    217.58/324.33 = 208.46/x
  3. Step 3: Cross multiply
    217.58x = 324.33 × 208.46
  4. Step 4: Simplify right side
    217.58x = 67,610.64
  5. Step 5: Solve for x
    x = 67,610.64/217.58
  6. Step 6: Final answer
    x = 310.75

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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.