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Finding the Fourth Proportional to 199.20, 297.23 and 165.18

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Solution

The fourth proportional to 199.20, 297.23 and 165.18 is: 246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.20 : 297.23 = 165.18 : x
  2. Step 2: Convert to fraction form
    199.20/297.23 = 165.18/x
  3. Step 3: Cross multiply
    199.20x = 297.23 × 165.18
  4. Step 4: Simplify right side
    199.20x = 49,096.45
  5. Step 5: Solve for x
    x = 49,096.45/199.20
  6. Step 6: Final answer
    x = 246.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.