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Finding the Fourth Proportional to 199.18, 300.11 and 165.23

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Solution

The fourth proportional to 199.18, 300.11 and 165.23 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.18 : 300.11 = 165.23 : x
  2. Step 2: Convert to fraction form
    199.18/300.11 = 165.23/x
  3. Step 3: Cross multiply
    199.18x = 300.11 × 165.23
  4. Step 4: Simplify right side
    199.18x = 49,585.16
  5. Step 5: Solve for x
    x = 49,585.16/199.18
  6. Step 6: Final answer
    x = 248.95

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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.