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Finding the Fourth Proportional to 217.66, 324.77 and 197.14

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Solution

The fourth proportional to 217.66, 324.77 and 197.14 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.66 : 324.77 = 197.14 : x
  2. Step 2: Convert to fraction form
    217.66/324.77 = 197.14/x
  3. Step 3: Cross multiply
    217.66x = 324.77 × 197.14
  4. Step 4: Simplify right side
    217.66x = 64,023.36
  5. Step 5: Solve for x
    x = 64,023.36/217.66
  6. Step 6: Final answer
    x = 294.15

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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.