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Finding the Fourth Proportional to 217.70, 324.96 and 189.02

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Solution

The fourth proportional to 217.70, 324.96 and 189.02 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.70 : 324.96 = 189.02 : x
  2. Step 2: Convert to fraction form
    217.70/324.96 = 189.02/x
  3. Step 3: Cross multiply
    217.70x = 324.96 × 189.02
  4. Step 4: Simplify right side
    217.70x = 61,422.31
  5. Step 5: Solve for x
    x = 61,422.31/217.70
  6. Step 6: Final answer
    x = 282.15

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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.