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Finding the Fourth Proportional to 199.36, 299.09 and 108.15

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Solution

The fourth proportional to 199.36, 299.09 and 108.15 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 299.09 = 108.15 : x
  2. Step 2: Convert to fraction form
    199.36/299.09 = 108.15/x
  3. Step 3: Cross multiply
    199.36x = 299.09 × 108.15
  4. Step 4: Simplify right side
    199.36x = 32,346.58
  5. Step 5: Solve for x
    x = 32,346.58/199.36
  6. Step 6: Final answer
    x = 162.25

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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.