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Finding the Fourth Proportional to 217.51, 323.96 and 216.48

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Solution

The fourth proportional to 217.51, 323.96 and 216.48 is: 322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.51 : 323.96 = 216.48 : x
  2. Step 2: Convert to fraction form
    217.51/323.96 = 216.48/x
  3. Step 3: Cross multiply
    217.51x = 323.96 × 216.48
  4. Step 4: Simplify right side
    217.51x = 70,130.86
  5. Step 5: Solve for x
    x = 70,130.86/217.51
  6. Step 6: Final answer
    x = 322.43

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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.