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Finding the Fourth Proportional to 193.76, 266.96 and 160.96

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Solution

The fourth proportional to 193.76, 266.96 and 160.96 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.76 : 266.96 = 160.96 : x
  2. Step 2: Convert to fraction form
    193.76/266.96 = 160.96/x
  3. Step 3: Cross multiply
    193.76x = 266.96 × 160.96
  4. Step 4: Simplify right side
    193.76x = 42,969.88
  5. Step 5: Solve for x
    x = 42,969.88/193.76
  6. Step 6: Final answer
    x = 221.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.