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Finding the Fourth Proportional to 217.48, 299.78 and 164.81

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Solution

The fourth proportional to 217.48, 299.78 and 164.81 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.48 : 299.78 = 164.81 : x
  2. Step 2: Convert to fraction form
    217.48/299.78 = 164.81/x
  3. Step 3: Cross multiply
    217.48x = 299.78 × 164.81
  4. Step 4: Simplify right side
    217.48x = 49,405.65
  5. Step 5: Solve for x
    x = 49,405.65/217.48
  6. Step 6: Final answer
    x = 227.18

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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.