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Finding the Fourth Proportional to 217.36, 299.82 and 161.65

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Solution

The fourth proportional to 217.36, 299.82 and 161.65 is: 222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.36 : 299.82 = 161.65 : x
  2. Step 2: Convert to fraction form
    217.36/299.82 = 161.65/x
  3. Step 3: Cross multiply
    217.36x = 299.82 × 161.65
  4. Step 4: Simplify right side
    217.36x = 48,465.90
  5. Step 5: Solve for x
    x = 48,465.90/217.36
  6. Step 6: Final answer
    x = 222.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.