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Finding the Fourth Proportional to 198.45, 274.32 and 165.51

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Solution

The fourth proportional to 198.45, 274.32 and 165.51 is: 228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.45 : 274.32 = 165.51 : x
  2. Step 2: Convert to fraction form
    198.45/274.32 = 165.51/x
  3. Step 3: Cross multiply
    198.45x = 274.32 × 165.51
  4. Step 4: Simplify right side
    198.45x = 45,402.70
  5. Step 5: Solve for x
    x = 45,402.70/198.45
  6. Step 6: Final answer
    x = 228.79

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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.