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Finding the Fourth Proportional to 193.74, 267.12 and 160.98

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Solution

The fourth proportional to 193.74, 267.12 and 160.98 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.74 : 267.12 = 160.98 : x
  2. Step 2: Convert to fraction form
    193.74/267.12 = 160.98/x
  3. Step 3: Cross multiply
    193.74x = 267.12 × 160.98
  4. Step 4: Simplify right side
    193.74x = 43,000.98
  5. Step 5: Solve for x
    x = 43,000.98/193.74
  6. Step 6: Final answer
    x = 221.95

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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.