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Finding the Fourth Proportional to 217.40, 324.57 and 194.32

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Solution

The fourth proportional to 217.40, 324.57 and 194.32 is: 290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.40 : 324.57 = 194.32 : x
  2. Step 2: Convert to fraction form
    217.40/324.57 = 194.32/x
  3. Step 3: Cross multiply
    217.40x = 324.57 × 194.32
  4. Step 4: Simplify right side
    217.40x = 63,070.44
  5. Step 5: Solve for x
    x = 63,070.44/217.40
  6. Step 6: Final answer
    x = 290.11

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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.