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Finding the Fourth Proportional to 217.98, 325.42 and 189.32

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Solution

The fourth proportional to 217.98, 325.42 and 189.32 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.98 : 325.42 = 189.32 : x
  2. Step 2: Convert to fraction form
    217.98/325.42 = 189.32/x
  3. Step 3: Cross multiply
    217.98x = 325.42 × 189.32
  4. Step 4: Simplify right side
    217.98x = 61,606.41
  5. Step 5: Solve for x
    x = 61,606.41/217.98
  6. Step 6: Final answer
    x = 282.62

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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.