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Finding the Fourth Proportional to 214.92, 323.66 and 161.19

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Solution

The fourth proportional to 214.92, 323.66 and 161.19 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 323.66 = 161.19 : x
  2. Step 2: Convert to fraction form
    214.92/323.66 = 161.19/x
  3. Step 3: Cross multiply
    214.92x = 323.66 × 161.19
  4. Step 4: Simplify right side
    214.92x = 52,171.16
  5. Step 5: Solve for x
    x = 52,171.16/214.92
  6. Step 6: Final answer
    x = 242.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.