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Finding the Fourth Proportional to 217.99, 324.59 and 216.98

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Solution

The fourth proportional to 217.99, 324.59 and 216.98 is: 323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.99 : 324.59 = 216.98 : x
  2. Step 2: Convert to fraction form
    217.99/324.59 = 216.98/x
  3. Step 3: Cross multiply
    217.99x = 324.59 × 216.98
  4. Step 4: Simplify right side
    217.99x = 70,429.27
  5. Step 5: Solve for x
    x = 70,429.27/217.99
  6. Step 6: Final answer
    x = 323.08

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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.