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Finding the Fourth Proportional to 217.33, 324.97 and 183.50

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Solution

The fourth proportional to 217.33, 324.97 and 183.50 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.33 : 324.97 = 183.50 : x
  2. Step 2: Convert to fraction form
    217.33/324.97 = 183.50/x
  3. Step 3: Cross multiply
    217.33x = 324.97 × 183.50
  4. Step 4: Simplify right side
    217.33x = 59,633.79
  5. Step 5: Solve for x
    x = 59,633.79/217.33
  6. Step 6: Final answer
    x = 274.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.