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Finding the Fourth Proportional to 193.44, 266.76 and 165.90

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Solution

The fourth proportional to 193.44, 266.76 and 165.90 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.44 : 266.76 = 165.90 : x
  2. Step 2: Convert to fraction form
    193.44/266.76 = 165.90/x
  3. Step 3: Cross multiply
    193.44x = 266.76 × 165.90
  4. Step 4: Simplify right side
    193.44x = 44,255.48
  5. Step 5: Solve for x
    x = 44,255.48/193.44
  6. Step 6: Final answer
    x = 228.78

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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.