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Finding the Fourth Proportional to 199.68, 298.88 and 164.16

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Solution

The fourth proportional to 199.68, 298.88 and 164.16 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.68 : 298.88 = 164.16 : x
  2. Step 2: Convert to fraction form
    199.68/298.88 = 164.16/x
  3. Step 3: Cross multiply
    199.68x = 298.88 × 164.16
  4. Step 4: Simplify right side
    199.68x = 49,064.14
  5. Step 5: Solve for x
    x = 49,064.14/199.68
  6. Step 6: Final answer
    x = 245.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.